Triple antibiotic ointment for people is safe for animals, like Neosporin, just make sure it's WITHOUT pain reliever. And I never said to bandage it... Good luck!
Sorry to jump in so late in the game, but for a similar skinning injury on a chicken neck/head, after irrigating to get it as clean as possible, I keep it covered with triple antibiotic ointment. Keeps dirt out, while keeping the wound moist; reapply 2x daily. I know folks love their Vet spray...