The Ligue 1 champions have quashed speculation linking the 29-year-old, or any other players, with a move away before the close of the transfer window
Earlier on Thursday, Inter Milan had expressed interest in bringing 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.
However, president Nasser Al-Khelaifi has indicated the French champions have no intention selling any players before the close of the summer transfer window, amid speculation the 29-year-old may be leaving.
"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, who joined PSG from Napoli in 2012 for a reported €26.5 million transfer fee, has two years remaining on an existing four-year contract but has been repeatedly linked with a return to Serie A.
The former Napoli player, whose side face Torino on Sunday, has been a regular for his club since arriving two years ago but has failed to reproduce his very best form in the French capital.