Higuain toiled on loan at AC Milan in the first half of the season, but the Argentina worldwide previously hit 36 Serie A goals in a season for Sarri's Napoli.
Discussing 60-year-old Sarri, Hazard added: 'I like this kind of football.
"In the moment he is really very determined", Sarri said.
Asked why he connects so well with Higuain, Chelsea's head coach replied: "Mentally I think it was the same, but I think that Gonzalo is very suitable for my football, so the feeling is really fantastic". "In my first season in Naples, he arrived later [due to the Copa America]. I don't know the mother of Gonzalo", Sarri joked on Friday.
Both attackers scored twice in a 5-0 thumping of Huddersfield Town last time out as the Blues bounced back from a 4-0 loss at Bournemouth in style.
The Belgium forward's next move remains a subject of intense speculation, something he fanned himself this week by declaring he had made a decision on his Chelsea future.
"I will be really very happy with him if he wants to stay, because he is the best in Europe, so I will be really very happy".
He told Radio Marca on Thursday: "If Hazard has said that he already made his decision, then I think it's because he'll renew his contract with Chelsea". "And so, he has to decide".
Real have been desperate for a superstar after Cristiano Ronaldo left for Juventus in the summer.
Chelsea go to Manchester City on Sunday with the Premier League champions having reclaimed top spot from Liverpool by defeating Everton on Wednesday. "But I speak with Eden about his position on the pitch", he said.
Sarri says he meets Guardiola socially in the off-season, alongside Arrigo Sacchi, the former AC Milan boss.
"We are still learning about his concept".
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