What does your credit score have to be to rent a house in Arizona? There's no specific credit score requirement in Arizona.In this article, we provide an overview of Arizona rental applications and a free downloadable rental application form. Get Arizona tenant screening background checks now! Apartment tenant screening services include credit, eviction, criminal and more for all of Arizona. The combined average credit score of all Applicants must be equal or greater than 600. Co-signors will not be accepted. Make sure you collect money for a credit check, because most credit checks aren't free. There are several apps you can use to do credit checks. A complete rundown of application fees, background checks, and Fair Housing compliance, so you can navigate the process with confidence.