so if you take a parrot and tame it then punch it it now has one heart left and their is no way that I know of to heal it.

a few other things:
its very difficult to make a parrot sit if its flying
I suggestion I have for parrots are that they are afraid of creepers! because a explotion from one instantly kills them and if a real parrot is near a explotion wouldn't they freak out?
also theirs not a way to breed parrots yet which I believe is already known...