Hi @LYNNWojahn
Welcome to the HP Support Community. I'd be happy to assist you with the Instant Ink query.
Yes, your printer will work in AZ. As you are an Instant Ink user, I'd suggest you make changes to the shipping address so that you continue to receive Instant Ink cartridges.
Please follow these steps to change the shipping address -
1) Go to hpinstantink.com/signin (the HP Connected website) to sign in to your HP Instant Ink account, if you are not signed in already.
Your HP Instant Ink account page opens.
2) In the My Account section, click Change Shipping Information, then Edit Shipping Information. Make sure postal codes are in the correct format.

You may also refer to this document - HP Instant Ink - Changing Your Shipping or Billing Address
If the suggested information can't be found, please send us a private message with your Instant Ink account details or you may also respond to the private message I've sent out and I'll help you out, accordingly. Check next to your profile Name, you should see a little blue envelope, please click on it.
Hope this helps! Keep me posted.
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Have a great day!
Asmita
I am an HP Employee