From the AZ Dept. of Revenue:
https://www.azdor.gov/Portals/0/ADOR-forms/TY2015/10500/10567_inst.pdf p.3
Following are the instructions for a renter in AZ to claim this credit. If you can meet these requirements living in a mobile home should not disqualify you.
Renter
When you file your PTC claim, you must include a
completed Arizona Form 201, Renter's Certificate of Property
Taxes Paid. Include this statement with your claim. You
must get Form 201 from your landlord. You must fill out lines
13 through 15 unless they already contain the correct
information. Your landlord must complete and sign the Form
201. The AZ Form 201 provides your proof of property taxes
paid from your rent.
If you own a mobile home but rent the space, complete the
Form 140PTC as a renter. Include a completed Form 201 and
a statement showing your property taxes you paid in 2015. See
the "homeowner" instructions to find out what kind of
property tax statement you should include.