Sarri replaced his compatriot Antonio Conte before the start of the season and Hazard said his attempts to change Chelsea's counter-attacking style to a more possession-based model had been beneficial to his game. "At the minute, he's probably the best player in the world, the way he is playing", he said.
"The Italian coach was at pains to stress that he is not questioning Hazard's level of commitment to training, but added: "[I want] more continuity.
Liverpool and Chelsea meet on Saturday for the second time in less than a week.
Liverpool are among the favourites to win the league after their impressive summer transfer window.
"I think Eden is one of the best players in Europe and one of the best players in the world, for sure, and what he's done today, that goal, is proof of that".
However, Hazard - who has won two Premier League titles, the Europa League, FA Cup and EFL Cup since arriving from Lille in 2012 - is more concerned about silverware and not goals.
Sarri, who will have the likes of match victor Eden Hazard, midfield destroyer N'Golo Kanté and ever present menace Olivier Giroud back in his starting eleven, faces a similar problem with defender Antonio Rudiger still feeling the effects of of a groin problem he picked up against the Hammers. He is a genius I think, he is unique. He has a lot to give to himself, the team and the staff.
"It's hard to compare him with other players. And I want everything".
Chelsea came back into the game in the 79th minute as Emerson Palmieri restored parity for the Blues before Eden Hazard came off the bench to score the winning goal for the Blues in the 86th minute.
There have been plenty of debates on social media regarding the best player in the Premier League. The Belgium worldwide beat three Liverpool players, passed out wide, received the ball back, beat three more players and then fired past Simon Mignolet.
"This is good preparation for Saturday but we have to defend better", said Klopp.
Both the teams are strong contenders to the Premier League title after making explosive starts to their season, but we take a look at how risky this combined eleven would be.