Hazard has recently attracted the interest of some of Europe's biggest clubs, including City's Premier League competitors Arsenal and Chelsea.
The Belgium international's representative, Marc Fourmeux, revealed he is now expecting Roberto Mancini to make the first move once the transfer window is re-opened next month in a move which will allow the playmaker to remain with his Ligue 1 club on loan until next season.
"There is much talk of an offer of €30 million from Manchester City, which will see him remain at Lille for the next six months," Fourmeux told AS.
"His future is in any case destined for a big European club like Real Madrid, Barcelona, Chelsea, Manchester City, AC Milan, Inter or Juventus. For Hazard, the president of Lille wants to receive €40 million while the player himself has declared that he wants to play for Madrid."
Meanwhile, Rennes midfielder Yann M'Vila, also represented by Fourmeux, has been valued at €20 million, and is also expected to make a January move after being previously linked with Arsenal.
"Regarding M'Vila, he is valued at €20 million and he does not know where he wants to go," Formeaux said.
"In Italy, they have linked him to Inter and AC Milan, but we will have to see who can pay his price and then convince him to join them."