No, French Bulldogs are not allergic to cats. In fact, they tend to get along quite well with them. This is likely because both breeds share some common ancestry. However, there are a few things to keep in mind if you plan on keeping a French Bulldog and a cat together. First of all, make sure that the cat has its own space that the dog cannot access. This will give the cat a place to retreat to if it feels overwhelmed or needs a break from the dog. Secondly, keep an eye on the dog's eating habits around the cat. Some dogs can be resource guarding when it comes to food and may try to steal the cat's food or guard their own bowl from the cat. If this is an issue, you may need to feed them in separate areas or keep a close eye on them while they eat. Overall, French Bulldogs and cats can make great companions for each other as long as their basic needs are met and they are monitored closely at first until you know how they will interact with each other.