Earlier this week, the Italian tactician returned to the Spanish capital on a three-year contract after leaving Premier League side Everton.
In his previous spell as Real Madrid boss, Ancelotti led Los Blancos to a 10th European crown, the FIFA Club World Cup and the UEFA Super Cup but was dismissed the following season.
The Belgian winger told RBTF of his admiration for Ancelotti: "Everyone at Real Madrid knows what Ancelotti has brought to the club.
"He won the Champions League with this group and he knows a lot of the players. We know that he is a coach with a lot of experience.
"He knows the city and the fans. I think we can do great things together.
"I don't know him personally, but from what I've heard of him he's a very nice person who just wants to win, and that's what we all want.
"We'll have the chance to work together. It's good news for me."
Hazard will be hoping to finally kick on next season after two injury-plagued campaigns that has seen him make just 43 appearances for Real Madrid, scoring one goal since a big-money move from Chelsea in the summer of 2019.
