Newcastle are reported to be leading the chase to sign the French international when the transfer window reopens next month with Queens Park Rangers and West Ham also credited with an interest.
The Magpies are thought to be drawing up a list of striking targets in case Demba Ba leaves and Remy is thought to figure highly on it.
Remy has struggled to hold down a regular place in the Marseille side this season, but Labrune insists he is not actively trying to sell the 25-year-old.
"I'm not looking for a way out for Loic," Labrune told Le Parisien. "I like him, and I know his potential."
Labrune claims Marseille are under no pressure to sell Remy and that they are actually looking to bring in new faces rather than lose anyone in January.
"Our finances are healthy," added Labrune. "I don't have to sell this winter, we're rather in a position to buy one or two players to help continue the best start to a season the club has made in nearly 20 years."