The Belgian, who scored 16 goals in Chelsea's 2016-17 title winning season, has three more years left on his current contract.
Hazard has been the subject of speculation linking him with a move to the Bernabeu, and the 26-year has refused to quash the rumours.
"Of course, I would consider it if Madrid made an offer," said Hazard via Sky Sports.
"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. 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 2016-17 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."