Arsenal manager Arsene Wenger admits the Gunners were second best to Borussia Dortmund in the Champions League.
A determined Jurgen Klopp side created chances in both halves and punished Arsenal with a Ciro Immobile clinical finish in the dying minutes of the first half and a pacy run by Pierre-Emerick Aubameyang immediately after the break.
"Congratulations to Dortmund, they were the better team," Wenger said in his post-match press conference.
"We had a disappointing performance and the victory is normal.
"Still the paradox of the night is we had very good chances to to score first that didn't go for us and went for them.
"We were caught on two counter-attacks on 45 and 48 minutes and that was very difficult."
The manager also revealed there is concern over a possible ankle injury suffered by midfielder Jack Wilshere, who will be assessed on Wednesday ahead of Saturday's game against Manchester City.
"Jack Wilshere has turned his ankle," added the Frenchman.
"it's difficult to say how bad it is because I am a bit cautious, normally it's not very bad but because of his history I'm a bit cautious.
"Apart from that no player I took off was injured."