The Gunners' boss initially had few complaints about the France international's dismissal, but after watching the replay he believes it was "a very minor incident"
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However, the Gunners' appeal was rejected by the FA, forcing Giroud to serve the full suspension, but Wenger insists his side will move on without the French international.
"It is a blow that we cannot have him available," Wenger told the club's official website. "We will have to do without him and we will do it.
"It's a harsh decision. After the game, I was a little bit less convinced that he didn't deserve the red card but having seen it again, I feel it's completely accidental and a very minor incident.
"That's why I decided to appeal. I'm sad that it didn't work but we have to cope with it. You weigh up [the possibility of him missing another game when appealing] but honestly nobody could accuse you of a frivolous appeal when you see what happened again.
"I thought 'frivolous appeal, no – but will they overturn the red card?' For me that was 50-50. But we were never in doubt of it being [seen as] a frivolous appeal."
Giroud himself echoed the comments on Wednesday on social networking site Twitter, adding: "Decision tres tres dure... Very severe decision..."