There is no registration of firearms in Arizona. With the exception that, citizens that own any weapons that are regulated by the NFA be in compliance with the laws of the NFA.
What is Firearm Registration?
Most states do not require owners to register their firearms with the police. A few states only require that certain types of firearms maybe registered, such as assault weapons. Registering your firearm involves fingerprinting, recording the gun's serial number, your name, and address.