Lille director of football Frederic Paquet insist Gervinho will not be sold to a French rival.
Arsenal and Tottenham are chasing the Ivorian, with Spurs having bid for the striker last week.
Paquet told La Voix Du Nord: "PSG recently enquired about Gervinho, but they were told we do not wish to sell him to a French club.
"Gervinho's future is uncertain. He could join an English side, or he could stay with us.
"He has to decide exactly what he wants. We are not opposed to the idea of a transfer, but the agreement has to suit us.
"We have yet to receive an offer or proposal."