Hazard has been heavily linked with a move to Real Madrid, with manager Zinedine Zidane looking for his next marquee signing at the Bernabeu.
But bookmakers Betfair have priced Chelsea at 1/5 to keep hold of their star man, with a move to Real at odds of 3/1 to sign him this summer.
Hazard, who scored 17 goals this season to help Chelsea to the Premier League title, recently admitted he would have to consider his future if Real Madrid approached.
When asked about Real's interest, Hazard said: “Of course, that’s all. We all dream. Of course, I would consider it if Madrid made an offer.
“I am keen to win trophies. It would be great to win the Champions League. But Chelsea’s goal is to win the Champions League as well.
Chelsea's Eden Hazard has been heavily linked with a move to Real Madrid this summer
Chelsea odds-on to keep Real Madrid target Eden Hazard
“Honestly, I do not know what will happen. I only know that I still have a contract with Chelsea for three seasons and that we just had an amazing campaign.
"We want to continue on this path and want to build on this in the Champions League. I am feeling very well at Chelsea. But you never know what will happen.
“I have not met with the board yet to discuss a new deal. I have two games with Belgium coming up first and I am off on my holiday after that. I want to think about football as little as possible.”
Hazard is expected to be sidelined for three months after successful surgery on a fractured ankle during Belgium duty.
Chelsea odds-on to keep Real Madrid target throughout summer window Chelsea fans worried about Eden Hazard's injury Mon, June 5, 2017
Get Quotes on Home Insurance
Click through the gallery to reveal the best Chelsea reactions to Eden Hazard's injury
Play slideshow Twitter 1 of 13
Belgium's national team doctor Kris Van Crombrugge said: "Hazard suffered a fracture in the bone. Thankfully not in the shin.
"Ligaments can in this kind He quickly cracks, but the scan only showed minimal lesion at the ligaments.
"The damage is really very limited, which means that his rehabilitation will run smoothly. It is one hundred percent right.
"He will recover in about three months. Eden knows this is very realistic.
"He remains optimistic, even after this trauma. He will return as a top player. In three months he will just perfect."