Inter is reportedly keen on the former Napoli ace but the Ligue 1 champion have no interest in offloading the winger or any other players before the close of the transfer window.
Inter had reportedly been hoping to bring the Argentina international back to Italy and reunite him with his former boss at Napoli, Walter Mazzarri, who is now in charge of the Nerazzurri.
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However, Al-Khelaifi says that the Ligue 1 champion has no intention of allowing anyone to depart before the close of the summer transfer window.
"Lavezzi's future? There are no players leaving," the Qatari told reporters.
"All of our players are bound to a contract with PSG. They will either remain until the end [of their contracts] or renew [their deals]."
Lavezzi joined PSG from Napoli in 2012 for a reported 26.5 million euro transfer fee, signing a four-year contract with the club, but he has been repeatedly linked with a return to Serie A after failing to reproduce his very best form in the French capital.