Hi I have a Home Warranty with American Home Shield. And I had some issues with a recent claim regarding my AC.Find out how to address problems with American Home Shield. Discover the steps to document issues, submit complaints, and seek resolution. Consumers may be able to file an American Home Shield class action lawsuit if they have experienced harm at the hands of the home warranty company. The first way to sue American Home Shield is through consumer arbitration. If your contract has an arbitration clause it gives you the right take legal action. Arbitration Procedures. The trial court erred in refusing to apply res judicata against AJZ since the same court had previously held the Arbitration and Forum. Household Finance Corp.