TheFork users who ate in Antibes have said really good things about Paseo, Perla Gourmet | Mets Divins and Le Fedor. Maybe you should give them a try!
Some of the more popular Swimming pool restaurants where you can go with your pets in Antibes according to TheFork users include:
Paseo, with a 9.2 rating
La Tour Antique, with a 9.3 rating
La Storia, with a 9.4 rating