If party is unhappy with the decision handed by the U.S. Court of Appeals, what is their next step? Responses There are no other options after the U.S. Court of Appeals. There are no other options after the U.S. Court of Appeals. File an appeal with the U.S. Supreme Court and hope that they will take the case. File an appeal with the U.S. Supreme Court and hope that they will take the case. File an appeal with the U.S. District Court File an appeal with the U.S. District Court File a second appeal with U.S. Court of Appeals and hope for new judges