Speaking after Senegal's 2-1 win against Poland on Tuesday night, Koulibaly stressed that Sarri would need time at Chelsea but is confident that he will ultimately deliver exciting football.
The former banker worked with Higuain at Napoli and is keen to get his hands on him again once he takes charge of Chelsea this summer. "I'm disappointed that he leaves like this but we have now a big coach (Carlo Ancelotti)".
Brazilian central defender David Luiz had been snubbed by manager Antonio Conte and Gary Cahill's poor form meant that Chelsea had to utilize a young Dane called Andreas Christensen in the heart of the defence.
Chelsea are thought to be interested in signing the Argentine, with Maurizio Sarri previously working with him during his time at Napoli.
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"You can expect nice football because he's a very good coach", said Koulibaly.
"I hope he will win something with Chelsea because he's a nice coach". He then tried convincing the club board to make a move for him last summer, but failed to do so once again before the player penned a new deal with Napoli.
'At Napoli we enjoyed it very much as players and the supporters enjoyed it very much. I think Chelsea fans will enjoy the style of football he plays. Two of their best players Belgian duo playmaker Eden Hazard and goalkeeper Thibault Courtois have also urged that Conte's future be sorted and players brought in before their rivals steal a march on them in the transfer market as they did a year ago.
It will not come as a surprise to many with Sarri being strongly linked to the Chelsea role for many months.