Quoted by Arsenal media, Mikel Arteta said in his post-match interview: "I think we started the game really well.
"We were dominant we played in the opponents’ half, we generated some momentum, scored the first goal.
"Then it’s a critical moment of the match, Ben White is in front of [Manuel] Neuer to make it two-nil and we have to put the ball in the back of the net and it becomes a different moment.
"In Champions League you cannot give anything to the opponent."
The Arsenal boss continued: "We had given them two goals today and when you have this situation they are going to punish you.
"The margins are really small in this competition, it’s really difficult to penetrate the opponents and create big quality chances against this level of opposition, make sure you don’t give them anything but I think the team showed a lot of composure.
"Especially after 2-1 because you can throw your toys away and generate a lot of spaces for the opponent and lose the tie in 20 minutes.
"We haven’t done that and I think the subs made a huge impact and the way they came on the pitch, the body language, the attitude, the initiative to make things happen made a big difference to the team."
Arsenal need to keep tighter margins in the second leg if they are to get to the Champions League semi-final.
Bayern Munich are known to be more dominant at the Allianz Arena and are tried and tested Champions League winners.
The 2-2 draw was rather controversial but Arsenal have to avoid some of the errors - particularly in defence - seen at the Emirates.
