I do not have personal experience but here is what is written on USCIS website: General Eligibility for Persons Subjected to Battery or Extreme Cruelty On October 28, 2000, Congress expanded the provision regarding naturalization based on marriage to a U.S. citizen for persons who reside in the United States. The amendments added that any person who obtained LPR status as the spouse, former spouse, or intended spouse[13] of a U.S. citizen who subjected him or her to battery or extreme cruelty may naturalize under this provision.[14] Specifically, the person must have obtained LPR status based on: An approved Petition for Amerasian, Widow(er), or Special Immigrant (Form I-360) as the self-petitioning spouse of an abusive U.S. citizen; An approved Petition for Amerasian, Widow(er), or Special Immigrant (Form I-360) as the self-petitioning spouse of an abusive LPR, if the abusive spouse naturalizes after the petition has been approved;[15] or Special rule cancellation of removal for battered spouses and children in cases where the applicant was the spouse, or intended spouse of a U.S. citizen, who subjected him or her to battery or extreme cruelty.[16] A person is also eligible for naturalization under the spousal naturalization provisions if he or she had the conditions on his or her residence removed based on: An approved battery or extreme cruelty waiver of the joint filing requirement for Petition to Remove Conditions on Residence (Form I-751), for a conditional permanent resident, if the marriage was entered into in good faith and the spouse was subjected to battery or extreme cruelty by the petitioning citizen or LPR spouse.[17]

Thank you @Adam T this is very helpful