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.Hi I have a Home Warranty with American Home Shield. And I had some issues with a recent claim regarding my AC. 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. What to include in the demand letter? Instead of a judge, you have an "arbitrator," a lawyer who decides which of the parties is correct and how much to award them. The website has a complaint form that can be downloaded, filled out, notarized and mailed to. DHR.