Originally Posted by
BlatheringPenguin
I don’t know how it will work for OP’s trip via PHX. But, transiting Dallas international-to-international you can check your bags all the way through without claiming at customs. (You will still clear immigration.). You do want to triple check that your bags are tagged correctly (an typically have some additional tape wrapped around them to flag them as transfers.)
DFW and MIA are the only two AA USA airports one can check baggage as ITI. At PHX, it’s thd usual immigration, retrieve bags, process them through customs, recheck them in - a final opportunity to verify they’re still properly tagged. This procedure is the same for single or multiple tickets, fortunately for those on multi ticketing.
Also, see
AA Guide: PHX / Phoenix Sky Harbor International Airport - MCT, Connection, etc..