Arrest warrants have been repeatedly sought and later quashed for the Quaids, who were charged last year with failing to pay a $10,000 hotel bill.
They pleaded not guilty in December and were released on $40,000 bail. Carter says that bail has now been forfeited.
A phone message for the Quaids' attorney, Robert Sanger, was not returned Tuesday.
Randy Quaid has appeared in several films, including "Independence Day" and "National Lampoon's Vacation."