Chelsea are furious with assistant team coach Marco Ianni for celebrating wildly in front of Jose Mourinho, the incident which sparked a touchline melee at the end of the club's 2-2 draw with Manchester United.
"I did not get respect back from Chelsea [fans] but that is not my responsibility", he said.
"I am not annoyed with anything", Mourinho said.
Martial has suffered an inconstant role in Jose Mourinho's starting 11 since the Portuguese manager took control at Old Trafford in 2016.
United were on the verge of securing their first win at Stamford Bridge since 2012 after mounting an impressive comeback in the second half, with Anthony Martial scoring twice after Antonio Rüdiger had given Chelsea an early lead.
"We tried to win from the beginning of the game", the Brazil defender told Chelsea's website.
"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".
"Maurizio saw and Maurizio said he would take care of it internally and [for Mourinho] to accept his apologies which I did".
"We were the best team on the pitch".
Chelsea's slick passing game gave way to long-ball hoofing tactics while José Mourinho's United stepped up a gear and Martial scored again on the break in the 74th.
"At 1-1 we stopped with our football and played other football".
The former Monaco man was disappointed to concede so late but hopes their improving performances will stand them in good stead against Juventus in the Champions League on Tuesday.
The anguish and rage on Mourinho's face, as well as the bitter disappointment of United's players, showed how much the denial of the victory hurt them. We had lots of times with the ball in the last third and we weren't aggressive enough with the ball to attack the spaces to have some mobility. But I have that situation immediately [after the match]. "I understood that we were in the wrong side of the situation", Sarri told BBC sport. The 2-2 [equaliser] in last minutes is okay for confidence of my players, but I have to look at something else.