A lot of people associate skin allergies with external allergens. However, with dogs, they often manifest their allergies to their food through their coat. So, if you have a pet with coat problems, it could very well be closely associated with their food — especially if you have recently switched foods.
Sometimes it can be worthwhile to visit a local vet and get some anti-allergy lotion to help with the immediate inflammation. But, to speed up healing, you really need to make sure that your pet’s food is not going to cause any more problems.