The 17-year-old has signed a two-year contract and joins Stoke for an undisclosed fee.
“Florent is definitely one for the future and we are delighted that he has chosen to move here,” said City boss Tony Pulis.
“It’s a measure of the club’s progress and the emphasis we are placing on the development of the youth set-up that we have managed to attract such an outstanding talent to this club when he attracted so much interest.”