While French Bulldogs are not typically allergic to shrimp, it is possible for any dog to have an allergic reaction to any food. If your Frenchie has never had shrimp before, it is best to introduce it slowly and monitor for any signs of an allergic reaction, such as itching, hives, or swelling. If you suspect your dog may be allergic, it is important to speak with your veterinarian to determine the best course of action.