The Italian coach has been calling for the club to conclude talks with Hazard and Courtois and they seem to have made a breakthrough with both players now confirming that they will sign new deals to remain at Stamford Bridge beyond the current campaign.
Hazard has scored six goals and tallied two assists for Chelsea in the Premier League this season.
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The Belgian has also admitted it would "be a dream" to play under Zidane, whom he calls an "idol".
However, at an National Basketball Association game in London, he stated he would only sign a renewal, after Courtois signs his.
"I will answer you the same as Thibaut", Hazard told French media.
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For Courtois, the situation is even more pressing as he could be the subject of cut-price offers in the summer if he has not signed a new deal at the club by then, and as one of the world's elite goalkeepers replacing him would be similarly tricky.
Courtois has only one year left on his contract at #Stamford Bridge and he has postponed putting pen-to-paper due to personal reasons - mainly his ex-wife taking his children back to Spain after a break-up and him being so far away from them is proving to be hard for the #Chelsea goalkeeper.
He joined Chelsea from Lille in 2012 for a reported £32 million. "I knew that [my former girlfriend] would return to Madrid, so that has its influence too".
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The Belgian playmaker is widely regarded as one of the finest attacking players in the Premier League and has become Chelsea's main man in recent years.