Unlike other states actual physical inspection of your vehicle is not required by the state of Arizona as long as the owner can provide proof of ownership in the form of a title and/or registration.
Emissions testing may still be required.
The make of the vehicle, and vehicle identification number (VIN), body style, and some other general vehicle information will need to be provided to the Motor Vehicle Division (MVD).
It should be noted that if there are obvious mechanical or safety problems the registration may be denied until those items are fixed.
The Arizona Department of Transportation (ADOT) provides a section on their web site about vehicle inspections.