What is a natural anti-inflammatory for dogs?

There aren't any effective natural (non-prescription) antibiotics for dogs, and many of the natural/holistic/herbal/traditional preparations suggested can actually be toxic to dogs.

For a superficial, non-complicated infection, your dog may be able to fight off the bacteria on his own. However, most bacterial infections, if severe enough to be noticed by an owner, will need to be treated with antibiotics prescribed by a veterinarian.