Medicine. Although avoiding pets is the best way to manage a pet allergy, it’s not always necessary to rehome a pet and doing so can cause stress that leads to other health problems. Fortunately, after diagnosing a pet allergy either through a skin test or blood test, your doctor can prescribe a variety of medications to relieve your symptoms. Over-the-counter medications are available. Prescription options can work for more serious pet allergies. Nasal sprays reduce inflammation and control hay fever symptoms.Some medications are designed to help shrink swollen sinuses. In severe cases, a series of shots containing small doses of the offending allergens can “train” your immune system to tolerate them. This is rarely done, but can be when needed.