Lille president Gerard Lopez is full of praise for defender Gabriel.
Arsenal and Napoli have reportedly had offers accepted by LOSC in recent days.
Lopez told Sky Sports: "He is one of the players that we allowed to exit the club this summer, he asked for it and wants to try something else.
"We clearly told him what our expectations were, we spoke to a number of clubs, our expectations were met by a number of clubs and we have given him the time to decide.
"It is going to be entirely his decision. We tend to try and steer our players in certain directions, but at the end of the day it's the player's decision. I know he is going to make a decision early next week.
"He is a super guy and a great football player and he wants to play, there has been a lot of interest but we have clearly decided to close the door to further clubs at this stage and let him choose."