Procedures and Grounds for Requesting a U.S. District Court to Correct an Arbitration Award or Vacate an Arbitration Award Under the Federal Arbitration Act. Parties may agree to judicial review of the merits, which could result in an arbitration under the CAA that is slower, more expensive, and more formalistic.The AAA can only handle an appeal of the arbitration award if the parties have agreed that an appeal is allowed. The Federal Arbitration Act. Can be expedited and costs can be contained. Under California law, an arbitration clause in a contract is a litigation show-stopper.