French club are insisting that the young winger is not for sale, but have yet maintained their interest in Saint-Etienne midfielder Dimitri Payet - who is a Liverpool target
The 20-year-old winger has been linked with a move away from his current employers, with Arsenal, Barcelona, Liverpool and Manchester United having been linked with a move for the youngster.
Now Paris Saint-Germain have been reported to be interested in acquiring the services of the Belgium international, but Lille are keen on holding on to their asset for at least another year.
"Eden is not for sale," Paquet told RMC.
"He will not be leaving this summer, whether to Paris or anywhere else.
"The president has been very clear about this - he will be with us next season."
Lille are also believed to be interested in signing Saint-Etienne winger Dimitri Payet, with the general manager admitting that discussions have taken place.
"We continue discussions with Saint-Etienne," Paquet said. "It's a file that interests us strongly, but there is no urgency at present."
Goal.com exclusively revealed on Wednesday that Liverpool are considering making a €6.5 million bid to sign Payet.