What does your credit score have to be to rent a house in Arizona? There's no specific credit score requirement in Arizona.Typically, landlords prefer a credit score above 650 to approve a rental application. The combined average credit score of all Applicants must be equal or greater than 600. Co-signors will not be accepted. They just want your money. There are many ways to rent without a credit history. A credit check is required with application. Get Arizona tenant screening background checks now! Apartment tenant screening services include credit, eviction, criminal and more for all of Arizona.