The 21-year-old was voted Ligue 2 Player of the Year as he helped Caen seal promotion to the French top flight.
"Yoan is a very promising player, who causes a lot of interest amongst several clubs," Fortin told L'Equipe.
"I have read in the press particular interest from that of Arsenal and Lyon, but for the moment I can assure you that I haven't had a call from either Alain Perrin [Lyon coach] or Arsene Wenger."
Fortin feels Gouffran should remain at Caen next season.
"In any event he is under contract with us," he said.
"Yoan is a young player who has not played in Ligue 1 and I am convinced the best thing for him is the stage here.
"Unlike us, I am not sure the interested clubs could guarantee him a stage to perform like we can. If he is given just 20 minutes at the end of a match - I don't think that is very interesting for him.
"I honestly believe it is too early for him to leave."