Real horses are prey and did not evolve to be treated by humans and will re-injure themselves even when treatedReal horses are prey and did not evolve to be treated by humans and will re-injure themselves even when treated, however Centaurs being intelligent beings with a heavy-muscled torso will be able to use simple axillary crutches when injured at the forelegs during the day to shuffle around:
But they will have to use slings to cure their hind legs or when resting at night for both fore and hind legs:
(example from a donkey taken as donkeys are much smarter than horses and are more likely to survive this process)