An appeal is when someone who loses a case asks an Appellate Court, a higher court, to review the decision and change it. The short answer is that it depends on whether the enforcement action is in federal or state court and the state law governing the parties' agreement.An appeal is started with a Notice of Appeal. A Notice of Appeal is the written paper you file to let the court and the other side know that you are appealing. A party may petition the Board to modify or vacate an arbitral award. The Federal Arbitration Act ("FAA"), 9 U.S.C. § 1, et seq. There is no right to appeal in arbitration like there is in court.