Terry impressed during his four appearances for England at Euro 2012 this summer.
Current PSG boss Carlo Ancelotti managed Terry while he was in charge of Chelsea.
Ancelotti is keen to bring in Terry, after their move for AC Milan star Thiago Silva fell through.
PSG are prepared to match Terry’s £160,000-a-week contract.
PSG sporting director Leonardo said: “Terry is close to Carlo Ancelotti, but that is all.”
