You'll need to ensure you also receive written permission to check their credit, a simple statement and their signature will do. What does your credit score have to be to rent a house in Arizona?There's no specific credit score requirement in Arizona. They just want your money. Background checks typically consist of a credit report, criminal history, income verification, eviction history, and a rental application. Typically, landlords prefer a credit score above 650 to approve a rental application. They need a specific reason. On your rental application, you should see a section asking for your permission for a credit check. Once the application is submitted and processed, a formal background check and credit check begin. There's no specific credit score requirement in Arizona.