"Martial is improving, he is doing different things than before", said Mourinho.
Martial's composed equaliser transformed a game in which United had been outplayed for the first 55 minutes.
United had taken a 2-1 lead thanks to two goals from Anthony Martial after trailing at the break.
"I hope every referee does the same as Mike Dean and gives six minutes", he added.
Speaking after the match in his post-match interview, José Mourinho said he had received an apology from unsporting Ianni for his actions.
"For me, over-enthusiastic celebrations are a part of the game, but I also think that if you're on the end of it, you should be able to react", Neville told Sky Sports.
"I am not annoyed with anything". "And after that, his assistant comes to me in Sarri's office and apologizes to me".
"The assistant has already come to me and apologised, I told him to forget it".
The 31-year-old told the club's official website: "Even though we were 2-1 down, we kept trying to score the equaliser and we did that in the end so I think the spirit was wonderful".
"He was very impolite but Sarri took care of the situation".
The home fans responded by chanting "f*** off Mourinho" - as they had done throughout the game - at a manager who three Premier League titles for the club during two separate spells.
The Red Devils have found themselves under pressure in recent weeks after a stuttering start to the new season for Jose Mourinho's men.
Sarri said: "I spoke with Jose afterwards and realised we were wrong". I want to speak to him again but I dealt with the situation immediately.
"[It was] different because against Newcastle, in the first half we weren't there".
The reaction from Chelsea's bench sparked an uproar, however, as Mourinho leapt up to confront Marco Ianni after the assistant coach ran in front of the Portuguese.
"After they scored they had a bit more confidence, and it was a great game".
Paul Pogba was at fault as Antonio Rudiger was given a free run to power a header past David de Gea and give Chelsea the flawless start.
In the first half, United were the team so many have criticised this season.