Hazard scored three goals for his country at the World Cup in Russian Federation - including the second in the 2-0 win over England in the third/fourth place play-off - and contributed two assists to help Belgium achieve their best ever finish at the tournament.
The Belgium international's links to the Spanish giants have increased exponentially following the end of his World Cup duties, having been identified as one of Real's top targets following Cristiano Ronaldo's €100m move to Juventus.
The goalkeeper has a year left on his contract with Chelsea and has rejected offers of a new deal, which is about to pave the way for him to leave the club this summer.
"I think he's our best player".
'Before that, I would also like a player to come on the pitch for four or five days with me to have a clear idea of what the plan is'. "For us, he's our most important player", Cesc Fabregas added.
Five dead as plane crashes into shopping centre vehicle park in California
He said it appeared that the plane "went down pretty abruptly", and added that while the plane leaked jet fuel, it didn't ignite. No one on the ground was injured, but an unoccupied vehicle in the parking lot was extensively damaged.
And his "people know my preferred destination" comment was widely interpreted as a flirtation with Real.
"Two top players, I hope I will improve Hazard too, but this will be very hard".
"(Hazard is) one of the top two or three European players", Sarri said in his first news conference as Chelsea coach since joining from Napoli, adding that he hopes "to improve Hazard but that will be hard".
"I think that I am one of the few managers who is bored by the transfer market. This is what any manager wants to do, this is what any club wants to do", said the 59-year-old.
The Brazil-born playmaker is a big fan of Sarri and believes he can help the coach impose his attacking style of football. "Then during the season we'll see whether or not we want to have more specific objectives". Chelsea revealed their new home strip in May, using it in their final game of the 2017-18 season, a 3-0 defeat to Newcastle which saw them miss out on a Champions League spot.