The charmless episode left Sarri accepting that the Chelsea bench was in the wrong and ordering his assistant to apologise to Mourinho.
Blues supporters also directed chants towards Mourinho, who replied by gesturing three fingers, reminding them about the three Premier League titles he won as Chelsea manager.
"It [the game] is very emotional and the guy I am sure he doesn't want to do something wrong, he doesn't want to disrespect the team", the Brazilian worldwide added.
In an interview with "NBC Sports", Neville criticised the conduct of Ianni, saying: "Whoever that staff member is of Chelsea has just been an absolute disgrace". I think he deserves a second chance. I spoke with the member of staff and I have to be very hard.
"They were much more direct and their first thought was: "Can we go forward in the second half".More news: Turkish police find Saudi consulate auto abandoned in Istanbul parking lot
"After that his assistant come to me in Sarri's office and apologised to me".
"I hope every referee does the same as Mike Dean and gives six minutes".
"When you're the best team, you want to win".
There was a slight moment of madness in the midst of the equaliser as Ianni goaded Jose Mourinho twice before the United manager retaliated in what proved to be a dramatic ending to a scintillating match.
It all took place after Barkley made it 2-2 in the 96th minute to earn the draw. I told him to forget it.
"United are better than us at this kind of football, so I'm really disappointed at the last 30 minutes".