The Gunners are currently top of the Premier League table after an impressive start to the season, with Giroud, Aaron Ramsey and new signing Mesut Ozil particularly impressive in the opening eight games.
|7/2||Olivier Giroud is 7/2 with William Hill to score first against Crystal palace on Saturday|
"We did well in the first half and came back into the game after a bad start," Giroud told the club's official website. "After the first half Dortmund were not as good, maybe tired, and we were really close to scoring a second goal. But they kept going and scored on the counter-attack. It's a shame because we could have done much better.
"We finished the game better than them and that's why I'm really disappointed because if we couldn't win the game, we didn't have to lose it - maybe draw. In the Champions League it’s like that, about the details.
"We lost but have won almost every game. Just Villa and West Brom [were not victories] so it's not the time to be really worried, but we want to come back on Saturday and win the game."