The Belgium international playmaker helped Rudy Garcia’s side to the Ligue 1 championship last season, and has been linked with a transfer to clubs in England, Spain and Italy.
With an impressive start to the season under his belt already, speculation of a move has been started again by his agent.
“He has shown from the beginning of the season that he is able to play for any of the big clubs, including Real Madrid,” representative John Bico told Mirror Football.
“Eden has matured in every aspect. Perhaps next summer will be the moment to leave in search of the biggest challenge.
“Arsene Wenger wanted the player but Lille said no to the sale last summer. It’s certain that Real Madrid have been watching.
“I don’t think [Zinedine] Zidane’s presence will necessarily decide things. Zidane has always praised him but that, on its own, will not be sufficient,” he concluded.
The creative midfielder is sure to be much vaunted again come January, and Arsenal could use his vision to fill the void left by Cesc Fabregas and Samir Nasri.
By Gareth McKnight