What does your credit score have to be to rent a house in Arizona? There's no specific credit score requirement in Arizona.The combined average credit score of all Applicants must be equal or greater than 600. Co-signors will not be accepted. You can use a tenant screening service like Avail to request and process screening reports. A complete rundown of application fees, background checks, and Fair Housing compliance, so you can navigate the process with confidence. Get Arizona tenant screening background checks now! Apartment tenant screening services include credit, eviction, criminal and more for all of Arizona. Arizona puts no limit on what landlords can charge for an application fee; Application fees in Arizona are nonrefundable. Arizona Rental Credit Check - What should be included?