The brilliantly talented Belgian midfielder has long been a transfer target for the Spanish giants and former boss Zinedine Zidane was known to have Hazard on his summer wishlist.
Some even argue that Zidane's decision to leave Real Madrid was because the club's hierarchy refused to sanction a move for the Chelsea man.
But as long as Hazard is happy, his brother Thorgan who plays at Borussia Monchengladbach believes he's better off staying at Stamford Bridge.
"Eden made the right decision by staying," Thorgan Hazard told Belgian newspaper HLN. "Chelsea didn't plan to sell him last summer and now he has had a good start to the season with Maurizio Sarri.
"Real Madrid are going through a complicated moment. They sacked the coach, key players left and now they have to rebuild the team. Eden won't make the wrong move.
"He'll wait to see what happens at the end of the season."
During the summer, Eden Hazard's form with Belgium saw his stock rise significantly as he helped guide his home nation to the semi-finals of the World Cup. And while Eden Hazard has stated that he's been "torn" about his next move, the uncertain situation at Real Madrid makes staying in the Premier League the more likely option.
"I know him and he's not thinking about making this move now" said Thorgan Hazard. "He'll give everything for Chelsea and doesn't want to clash with the club. If he does go one day then he'll do it in the correct way, without problems for the club."