<PAGE>
                                                                   EXHIBIT 10.11
                                                                  April __, 2000

Forstmann Little & Co. Equity Partnership - V, L.P.
767 Fifth Avenue, 44th Floor
New York, New York 10153


Dear Sirs:


      This letter will confirm our agreement that in connection with your
investment in Community Health Systems, Inc. (the "Company"), Forstmann Little &
Co. Equity Partnership - V, L.P. ("Investor"), will be entitled to the following
contractual management rights relating to the Company so long as Investor shall
own any voting securities of the Company (collectively, the
"Management Rights"):

(1)   Investor shall be entitled to consult with and advise management of the
      Company on significant business issues, including management's proposed
      annual operating plans, and management will meet with representatives of
      Investor (the "Representatives") at the Company's facilities at mutually
      agreeable times for such consultation and advice, including to review
      progress in achieving said plans. The Company shall give Investor
      reasonable advance written notice of any significant new initiatives or
      material changes to existing operating plans and shall afford Investor
      adequate time to meet with management to consult on such initiatives or
      changes prior to implementation. The Company agrees to give due
      consideration to the advice given and any proposals made by Investor;

(2)   Investor may inspect all contracts, books, records, personnel, offices and
      other facilities and properties of the Company and, to the extent
      available to the Company after the Company uses reasonable efforts to
      obtain them, the records of its legal advisors and accountants, including
      the accountants' work papers, and Investor may make such copies and
      inspections thereof as Investor may reasonably request. The Company shall
      furnish Investor with such financial and operating data and other
      information with respect to the business and properties of the Company as
      the Investor may request. The Company shall permit the Representatives to
      discuss the affairs, finances and accounts of the Company with, and to
      make proposals and furnish advice with respect thereto, the principal
      officers of the Company;

<PAGE>

(3)   Investor shall have the following rights regarding the appointment of a
      representative to the Company's Board of Directors (the "Board"). Investor
      shall provide to the Board, a reasonable period of time before the Board
      or the Company distributes to stockholders a proxy statement or other
      materials in connection with the election of directors, the name of
      Investor's nominee as director (the "Nominee"), as well as any other
      information regarding the Nominee as the Company may reasonably request.
      The selection by Investor of the Nominee shall be made after consultation
      with the Company, and Investor shall not designate a Nominee who is
      unsatisfactory to the existing directors. The Board and/or the Company
      shall include the Nominee as one of the persons recommended by the Board
      for election as a director of the Company, solicit proxies from
      stockholders in favor of the election of the Nominee as a director, and
      otherwise use all reasonable efforts to cause the Nominee to be elected as
      a director of the Company. In the event the Nominee elected to the Board
      shall cease to serve as a director for any reason, the Board shall fill
      the vacancy resulting therefrom with another Nominee. If the Company has a
      classified Board of Directors, Investor shall only be required to
      designate a Nominee, and the Company shall only be required to take steps
      to cause the Nominee to be elected, in the year in which the Nominee's
      class of directors is up for election. The Board shall not be required to
      fulfill its obligations under this paragraph to the extent that doing so
      would be in contravention of its fiduciary duties to the Company's
      stockholders; and

(4)   At any time during which Investor does not have a Representative on the
      Board, the Company shall, after receiving notice from Investor as to the
      identity of any Representative, (i) permit a Representative to attend all
      Board meetings and all committees thereof as an observer; (ii) provide the
      Representative advance notice of each such meeting, including such
      meeting's time and place, at the same time and in the same manner as such
      notice is provided to the members of the Board (or such committee thereof)
      and copies of all materials distributed to the members of the Board (or
      such committee thereof) at the same time as such materials are distributed
      to such Board (or such committee thereof) and shall permit the
      Representative to have the same access to information concerning the
      business and operations of the Company; and (iii) permit the
      Representative to discuss the affairs, finances and accounts of the
      Company with, and to make proposals and furnish advice with respect
      thereto to, the Board, without voting, and the Board and the Company's
      officers shall take such proposals or advice seriously and give due
      consideration thereto. Reasonable costs and expenses incurred by the
      Representative for the purposes of attending Board (or committee) meetings
      and conducting other Company business will be paid by the Company.


                                     - 2 -

<PAGE>


      Investor agrees, and shall cause each of its Representatives to agree, to
hold in confidence and trust and not use or disclose any confidential
information provided to or learned by it in connection with the exercise of
Investor's Management Rights under this letter agreement, unless otherwise
required by law or unless such confidential information otherwise becomes
publicly available or available to it other than through this letter agreement.


                                    Very truly yours,

                                    COMMUNITY HEALTH SYSTEMS, INC.

                                    By:
                                       ----------------------------
                                       Name:
                                       Title:



AGREED AND ACCEPTED THIS
__ day of April, 2000

FORSTMANN LITTLE & CO. EQUITY PARTNERSHIP - V, L.P.

By:   FLC XXX Partnership,
      its General Partner

By:
      ---------------------
      General Partner



                                     - 3 -
<PAGE>


                                                                  April __, 2000

Forstmann Little & Co. Subordinated Debt and Equity Management Buyout
Partnership - VI, L.P.
767 Fifth Avenue, 44th Floor
New York, New York 10153


Dear Sirs:


      This letter will confirm our agreement that in connection with your
investment in Community Health Systems, Inc. (the "Company"), Forstmann Little &
Co. Subordinated Debt and Equity Management Buyout Partnership - VI, L.P.
("Investor"), will be entitled to the following contractual management rights
relating to the Company so long as Investor shall own any voting securities of
the Company (collectively, the "Management Rights"):

(1)   Investor shall be entitled to consult with and advise management of the
      Company on significant business issues, including management's proposed
      annual operating plans, and management will meet with representatives of
      Investor (the "Representatives") at the Company's facilities at mutually
      agreeable times for such consultation and advice, including to review
      progress in achieving said plans. The Company shall give Investor
      reasonable advance written notice of any significant new initiatives or
      material changes to existing operating plans and shall afford Investor
      adequate time to meet with management to consult on such initiatives or
      changes prior to implementation. The Company agrees to give due
      consideration to the advice given and any proposals made by Investor;

(2)   Investor may inspect all contracts, books, records, personnel, offices and
      other facilities and properties of the Company and, to the extent
      available to the Company after the Company uses reasonable efforts to
      obtain them, the records of its legal advisors and accountants, including
      the accountants' work papers, and Investor may make such copies and
      inspections thereof as Investor may reasonably request. The Company shall
      furnish Investor with such financial and operating data and other
      information with respect to the business and properties of the Company as
      the Investor may request. The Company shall permit the Representatives to
      discuss the affairs, finances and accounts of the Company with, and to
      make proposals and furnish advice with respect thereto, the principal
      officers of the Company;


<PAGE>

(3)   Investor shall have the following rights regarding the appointment of a
      representative to the Company's Board of Directors (the "Board"). Investor
      shall provide to the Board, a reasonable period of time before the Board
      or the Company distributes to stockholders a proxy statement or other
      materials in connection with the election of directors, the name of
      Investor's nominee as director (the "Nominee"), as well as any other
      information regarding the Nominee as the Company may reasonably request.
      The selection by Investor of the Nominee shall be made after consultation
      with the Company, and Investor shall not designate a Nominee who is
      unsatisfactory to the existing directors. The Board and/or the Company
      shall include the Nominee as one of the persons recommended by the Board
      for election as a director of the Company, solicit proxies from
      stockholders in favor of the election of the Nominee as a director, and
      otherwise use all reasonable efforts to cause the Nominee to be elected as
      a director of the Company. In the event the Nominee elected to the Board
      shall cease to serve as a director for any reason, the Board shall fill
      the vacancy resulting therefrom with another Nominee. If the Company has a
      classified Board of Directors, Investor shall only be required to
      designate a Nominee, and the Company shall only be required to take steps
      to cause the Nominee to be elected, in the year in which the Nominee's
      class of directors is up for election. The Board shall not be required to
      fulfill its obligations under this paragraph to the extent that doing so
      would be in contravention of its fiduciary duties to the Company's
      stockholders; and

(4)   At any time during which Investor does not have a Representative on the
      Board, the Company shall, after receiving notice from Investor as to the
      identity of any Representative, (i) permit a Representative to attend all
      Board meetings and all committees thereof as an observer; (ii) provide the
      Representative advance notice of each such meeting, including such
      meeting's time and place, at the same time and in the same manner as such
      notice is provided to the members of the Board (or such committee thereof)
      and copies of all materials distributed to the members of the Board (or
      such committee thereof) at the same time as such materials are distributed
      to such Board (or such committee thereof) and shall permit the
      Representative to have the same access to information concerning the
      business and operations of the Company; and (iii) permit the
      Representative to discuss the affairs, finances and accounts of the
      Company with, and to make proposals and furnish advice with respect
      thereto to, the Board, without voting, and the Board and the Company's
      officers shall take such proposals or advice seriously and give due
      consideration thereto. Reasonable costs and expenses incurred by the
      Representative for the purposes of attending Board (or committee) meetings
      and conducting other Company business will be paid by the Company.

<PAGE>

      Investor agrees, and shall cause each of its Representatives to agree, to
hold in confidence and trust and not use or disclose any confidential
information provided to or learned by it in connection with the exercise of
Investor's Management Rights under this letter agreement, unless otherwise
required by law or unless such confidential information otherwise becomes
publicly available or available to it other than through this letter agreement.


                                    Very truly yours,

                                    COMMUNITY HEALTH SYSTEMS, INC.

                                    By:
                                       ----------------------------
                                       Name:
                                       Title:



AGREED AND ACCEPTED THIS
__ day of April, 2000

FORSTMANN LITTLE & CO. SUBORDINATED DEBT AND EQUITY MANAGEMENT BUYOUT
PARTNERSHIP - VI, L.P.

By:   FLC XXIX Partnership,
      its General Partner

By:
      ----------------------
      General Partner