The only easy way to do so is to use the Arcoscephale Priestesses, who are able to heal battle afflicitions. (According to one of the in-game hints) Additionally, the spell Gift of Health may heal battle afflicitions. (Enchantement level 5 though)
There should be other spells/creatures able to do so. (Or perhaps some magical sites?) Regeneration also reduces the odds to be afflicted by a battle affliction, as well as being an Immortal. (I would expect other abilities/items to work, but I cannot find another with the demo Version) But do not expect to be able to heal this broken arm or missing eye that easily.
