Can a prior arrest affect green card status?
My husband has a permanant residence card he was put in county jail for driving with no insurance. He had a bench warrant for that his card expires.
It really would depend on the specifics of the convicted offense as to whether or not this will have a negative impact on his ability to renew his green card or to eventually apply for and get US citizenship. You should probably consult with an attorney in your area who is an immigration attorney and also familiar with the criminal law.