Real are said to be considering Hazard as a replacement for Cristiano Ronaldo after the five-time Ballon d'Or victor joined Juventus this week.
Chelsea have told potential suitors that they will not sell Eden Hazard for anything less than €200 million this summer.
Hazard is the club's most valuable asset and proved his worth to clubs across Europe this summer with his impressive displays for Belgium at the World Cup.
The Belgian captain is a known admirer of Zinedine Zidane who stepped down as Real boss barely days after winning the Champions League for a third consecutive time.
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Barcelona have sought to step in with their own move for Hazard, as they seek to add another star to their attack.
Recently, Hazard admitted that Madrid would be any footballer's dream, regardless of the fact that Zidane is no longer the manager.
The World Cup really is the ideal stage for players to enhance their reputation.
However, fans of the 13 times European Champions do have an overwhelming favourite as to who they would like to see replace Ronaldo in the Spanish capital and that is France and PSG wonderkid Kylian Mbappe.
'He's one of the best footballers in one-v-ones, brings an understanding of how to break defensive systems down, he's got an incredible coordination right and left. He never drops his standards, he's a team player with a winning mentality and he can play for any demanding club in the world.