Sarri described Hazard as one of the top two or three players in Europe and said he would like to meet with him.
Thomas Meunier (4th) and Eden Hazard (82nd) scored for Belgium against England in the third place playoff match on Saturday.
Belgium overcame England to take third at the World Cup 2018.
Hazard has been one of the players of the tournament as Belgium reached the semi-finals for the first time since 1986, before losing 1-0 to France.
World Cup 2018 Semi Final: Samuel Umtiti's header propelled France to tournament final for the first time in 12 years.
France booked their semi-final clash against Belgium after eliminating Uruguay.
Belgium take on France with the aim to book a berth in the final of the FIFA World Cup 2018, in a mouth-watering semi-final clash at St. Petersburg Stadium on Tuesday.
France and Belgium have only met twice at the World Cup, with their last meeting coming in the third-place match at Mexico 1986.
A 'golden generation' featuring Thibaut Courtois, Kevin De Bruyne, Eden Hazard and Romelu Lukaku helped Belgium edge past Brazil in the quarters.
FIFA World Cup 2018 Quarter Final, Brazil vs Belgium, from Kazan Arena: Brazil Knocked Out After 1-2 Loss To Belgium In Quarters
On paper, a Belgium side containing the talents of Chelsea's Eden Hazard, Kevin De Bruyne of Manchester City and Manchester United striker Romelu Lukaku have the potential to cause a World Cup upset.
The teams meet in Kazan on Friday evening with Brazil the favourites, despite the quality in a Belgian side captained by Hazard, who plays with Willian at Chelsea.
Belgium coach Roberto Martinez said his side should accept they will be the underdogs in their World Cup quarter-final against star-studded Brazil on Friday.
FIFA World Cup 2018, Highlights, Belgium vs Japan: Belgium beat Japan 3-2, to play Brazil in quarter-finals
After making nine changes for last Thursday's win over England, Martinez is expected to revert to the line-up which impressed in one-sided wins over Panama and Tunisia.
England and Belgium are already in the 2018 World Cup Round of 16 from Group G.
The victory leaves the Red Devils top of Group G with two wins ahead of their clash on Thursday against England.
FIFA World Cup 2018, Highlights: Belgium recorded their second straight win by thrashing Tunisia 5-2.