The Gunners have long been linked with a move for the 20-year-old Belgian international.
Wenger told French TV show Telefoot: “He is a player that I have followed for some time, but I do not want to destabilise Lille right now. When he is available for transfer, we will see if there is the possibility to sign him.”
Hazard recently said: “There is not a big club that attracts me more than others. Manchester United, Barcelona and Real Madrid all tempt me.”