Alex Oxlade-Chameberlain believes Arsenal could not have given more despite slipping to a 2-0 defeat to Bayern Munich on Wednesday.
The Gunners made a lighting-fast start to the game and missed a glorious chance to take the lead when Mesut Ozil saw his penalty saved by Manuel Neuer.
Bayern controlled the game after Wojciech Szczesny was sent off and second-half goals from Toni Kroos and Thomas Muller gave Pep Guardiola's side an advantage going into the second leg.
"When you go down to 10 men against a team like Bayern Munich it's going to be very hard," Oxlade-Chamberlain said, "I thought we battled really well for as long as we could to try and keep them at bay it's just disappointing that at the end they managed to get another goal.
"They had the extra man and with the quality they have it's always going to be hard to get on the ball. I thought we started really well tonight and obviously we had a few chances early on and we had the penalty.
"We did start really well and that's what we wanted to do so we're really happy with that."
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