There is not enough information to determine if your father has a chance to stay here. Some criminal convictions can make someone ineligible for any relief from removal while others require the alien to obtain a waiver. You should take a copy of his criminal record to an experienced immigration attorney. This attorney can assess what can be done for your father. In the interim, you can read more about criminal alien matters at http://myattorneyusa.com/criminal-aliens.
Answered on May 20th, 2016 at 3:43 AM