Yes. Arizona requires a fingerprint clearance card to work within the state. In Arizona, the fingerprint is just as essential as your license, and you cannot have a license without also having the fingerprint card, even if working with a compact license from another state.
It is your responsibility to apply, pay for, and ultimately obtain a fingerprint clearance card. Facilities may check the status of your fingerprint clearance card through the Department of Public Safety website at any time.
Please refer to this state website for any and all FAQs regarding this process including how to apply and any additional information required by the state of Arizona.