You can still naturalize and become a U.S. citizen even after a divorce or have divorced your former spouse who petitioned for your permanent residence (green card).  If you are the spouse, former spouse and intended spouse of a U.S. citizen subjected to battering or extreme cruelty, you are exempt from the marital union requirement. This includes persons who obtained lawful permanent resident (LPR) status on the basis of the following: an approved Petition for Amerasian, Widow(er) or Special Immigrant (VAWA); cancellation or removal in cases where the applicant was the spouse or intended spouse of a U.S. citizen who subjected him/her to battering or extreme cruelty; or an approved waiver of the joint filing requirement for petitions to remove conditions for conditional LPRs, if the marriage was entered into in good faith and the spouse was subjected to battering or extreme cruelty by the U.S. citizen spouse.