Hazard's father, Thierry, revealed in December that his son had rejected a new contract offer from the Blues, with one offer reported to be worth €17.6million (£15.5million).
Zinedine Zidane is a huge admirer of the Belgian forward and is keen to bring him to the Bernabeu.
And Hazard, whose current contract runs until 2020, has revealed he is willing to extend his stay in Antonio Conte's side, provided Courtois pens a new deal first.
Speaking at a news conference at Cobham on Tuesday afternoon, Conte said: "I can speak about my player and, as you know very well, Eden is an important player for us".
After losing family in auto crash, actress' life support turned off
Jessica and her sister were pulled from the wreckage after their auto collided with Whitall's 4WD near Ulladulla on December 26. Home and Away has paid tribute to the late actress, who played the character Hope Morrison on the soap in 2016.
"That's not what I think".
Hazard who has two years left on his contract with Chelsea has been lately hitting his prime with improved performances every passing season.
"First, he must sign, then I will be able to continue".
Hazard has been a vital addition to the blues ever since his transfer from LOSC Lille and played a pivotal role in Chelsea's title wins in the previous three years. "It is not always easy, but I'd also seen this coming", Courtois said of his a personal situation while speaking on Belgian television show Stadion on VTM.
Hazard has always been touted as a potential target for Real Madrid as the Spanish club continue to consider bolstering their squad.