How are burned paws treated?

If they don't have any marks, blisters or scars, then leave them alone, just maybe keep your coon from licking his paws. Any blisters, scars ect, call your vet again. For now, I honestly don't know, but maybe try a cool, not cold, but cool cloth and gently touch the cloth to the paws. This may cool them down a bit, but if it starts to bleed, leave it alone and call your vet.