Ross Barkley would go on to salvage a point for the hosts with a 96th-minute equaliser to maintain the Blues" unbeaten start to the season, but speaking after the match, United manager Jose Mourinho described Martial as a "huge talent' and has said that he is improving.
Mourinho revealed after the match that he had accepted apologies from Sarri and Ianni once tempers had cooled, and the Chelsea head coach said he knew immediately that his assistant needed to make things right.
"I am not annoyed with anything".
"That is the way we have got to do it, the second half against Newcastle and 60-65 minutes of this game and as long as we play like that I'm sure we will get the result".
All of the players listed above have had their issues with Mourinho, but they were suddenly delivering against a big team, and while Mourinho still has to win over many of his stars, this performance suggested that it may finally be coming together. "In this type of football, United is better than us".More news: 17 reported killed after train derails in Taiwan
Former Tottenham Hotspur star, Jamie Redknapp, has urged Manchester United manager, Jose Mourinho to stop midfielder, Paul Pogba from marking opponents during set-pieces.
Two weeks after his United team overturned a 2-0 deficit to beat Newcastle 3-2 at Old Trafford - a result which may have saved his job - his players nearly performed a similar trick at Chelsea and Mourinho was central to that with his tactics and motivation.
"After they scored they had a bit more confidence, and it was a great game. I understood that we were in the wrong side of the situation", Sarri told BBC sport.
"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 awesome", he added.
"We were not organised for the long ball, we usually play with short passes so we were not organised for this in the last half hour". Nobody needs that level of taunting when you have conceded what was a sickening goal to lose at any time in the game, not merely in the final minute of added time. I have a lot of sympathy for the way he reacted, but looking to chase an opposition member of the coaching staff down the tunnel is not acceptable.