In my experience, flying AY on AA code-share, there's no upg availability with AY or AA miles, although I've had some op-ups, and occasionally, with the MD11, when few C tickets sold, second business cabin turned coach as per meals, seating better, and seats offered Finnair Plus and OW Elites.^

If OP's flying on AY ticket, then upg with AY miles is possible, but a friend of mine trying to switch miles earning to other program (BAEC in his case) after doing the upg, was turned down.

Miles from AY to Aadvantage account can be anything between 3 days to 6 months