The 25-year-old Frenchman looks certain to leave the Parc des Princes in search of regular first-team football this summer, although his representative Stephane Courbis denies that he has asked for a transfer.
"Clement never said 'I want to leave' - he simply said 'I want to play'," Courbis told Foot Mercato.
"When you're Clement Chantome, Parisian PSG supporter forever, you do not say you want to leave Paris. He just wants to play.
"Interest from Everton exists, there are even several English clubs interested. In France, there are two clubs after Clement."
Chantome, who came through Les Parisiens' youth ranks, made 28 appearances in Ligue 1 last season, 16 of them as a starter.