Earlier in the month, Hazard reiterated his desire to one day play for Real Madrid, revealing it has been his dream since he was a child.
The Belgian stars contract at Stamford Bridge expires in the summer of 2020 and Real are believed to be plotting a move for him ahead of next summers transfer window.
Hazard has already scored eight goals for Chelsea this season and his form has led many to label him the best player in the Premier League.
And Buck, Chelseas chairman since 2003, has attempted to reassure Blues fans that the club will do everything in its power to prevent Hazard from leaving.
Speaking at a Financial Times future of football event in Doha, Buck said: Every Chelsea fan in London and around the world loves Eden Hazard.
Hes not only a great footballer but I think hes a wonderful lad.
We want him to stay and we will do what we have to do to entice him to stay.
Lets see how it goes between now and the end of the season.
Hazard will hope to maintain his impressive run for the Blues on Saturday when struggling Manchester United travel to west London.
Former Arsenal and England star Paul Merson says Hazard is the best player in the Premier League – but has called on the Belgian to be more consistent.
He told Sky Sports: I would say so [Hazard is the best in the Premier League].
Hes the top scorer, hes making things happen. A couple of weeks ago, I would have said he was the best player in the world, but then Messi put in that performance against Tottenham at Wembley.
The problem with Hazard, and Im a massive fan of his, is that he can go missing for six months at a time. Youve seen it twice at Chelsea – last season, for instance.
Messi doesnt do that. He might go missing for one game, but Hazard has done it for big parts of seasons where it hasnt been going well for his team.
I dont think Ive ever seen Messi have two bad games on the trot, but Hazard went missing for big parts of last season, and the one where Mourinho got sacked (2015-16 campaign).
Hes got to sort his consistency out, more than anything. Hes been great this season, but weve seen that before, when Chelsea last won the league.