The French champions are yet to appoint a replacement for Leonardo, who stepped down from the post last summer, and the BT Sport pundit has thrown his hat into the ring.
"Anything is possible," he told RMC when asked whether he is interested in the position. "I have a certain legitimacy - I played in Paris.
"There is that love of the club that remains, the knowledge of what PSG is. My telephone is on."
Ginola played for PSG between 1992 and 1995 before signing for Newcastle. He went on to complete stints with Tottenham Hotspur, Aston Villa and Everton.