As Nightmare says, Hunting and Target is *NOT* a CCW permit. As far as I can tell, no other state recognizes a "H&T" permit as a CCW permit.
But, also as Nightmare says, AZ is not just open carry, but also constitutional-no-permit-needed concealed carry (with some limits,) and you won't run into any problems open-carrying. (I've seen people open carry into restaurants in Phoenix and nobody batted an eye.)
As others say, you follow LOCAL laws, so, for example, AZ bars carry in bars without a CCW permit. (Pun intentional, sorry.)
As with any such advice: I am not a lawyer. Look up AZ law before traveling there.