The travelling Chelsea fans in the 2-1 victory over Cardiff City on Sunday could be heard chanting "You don't know what you're doing" and "F*** Sarriball".
The Spaniard admitted Chelsea had benefited from a huge slice of fortune and accepted Sarri's side must improve during the final weeks of the season to secure a Champions League place.
"Loftus has no problem with his back for the first time this season. If they are able to improve we will be able to improve as a team", Sarri said, as quoted by the official website.
"I told my lads that at least we can look forward to going to Manchester City on Wednesday!" I don't know if the goal was offside, I have to see the situation.
"I think we are a group and, at the moment, I think we are a good group, so it's not helpful for my players". Probably we started very well, and so our fans thought everything was really very easy for us. Of course, we know very well we need to improve our performances. "Then we worked for a couple of weeks and then started to play every three days".
"They have to help the players during the match", he added.
Asked if he would alter his approach to games, he replied: "No, because I need to believe in what I do".
The Chelsea head coach's handling of the winger has been the focus of much criticism and the teenager returned to being an unused substitute in Sunday's victory at Cardiff City having made his full global debut for England in Montenegro six days previously.
Chelsea supporters vented their frustration at Sarri and called for the former Napoli boss to be dismissed. "Unfortunately, in the last period, I am getting used to this".
"They were probably unhappy for the result". "But it's not normal".
"So now, the Premier League is really, really very hard, also for a big club like Chelsea".
Maurizio Sarri said that he would not be driven out of Chelsea after fans again turned on the head coach and his tactics.
Sarri remains optimistic of finishing a challenging campaign on a high.