If it's established that there are not any U.S. workers who are able, willing, and qualified, the labor certification is then granted. Many college and university positions can be processed under provisions that only require you to be the best qualified applicant. A common misconception is that an approved labor certification authorizes the individual to stay in the United States and work. Only the U.S. Immigration and Naturalization Department has the authority to grant employment. The U.S. Department of Labor, which issues the labor certification, cannot grant employment.
Labor certification is only the first step toward permanent residence.
For more information, contact an attorney qualified in this area of the law.