Use only oils with high Deep fry a turkey breast points, such as peanut, canola or safflower oil. Remember to be sure the turkey breast is fully thawed. Fry until golden brown and the internal temperature reaches degrees F on an instant-read thermometer, 15 to 20 minutes. Deep fry a turkey breast check the oil temperature and increase the flame so the oil temperature is maintained at degrees F. If injecting a marinade into the turkey, puree ingredients so they will pass through the needle. Foods That Must Be Refrigerated. The oil will thicken when it is chilled, but will return to its original consistency when reheated.