"I opened the door for him at some stage as it's important for him to play but I don't want him to go", Wenger said at the post-match news conference.
"Giroud? He's fantastic", Wenger said of the France global, who usually started on the bench last season and had been linked with a move away from The Emirates. But I don't want him to go and in the end he made a decision to stay.
"For us it was a bit disappointing with the goals that we've let in and we shouldn't really be conceding in that way, but I think we showed great determination and great togetherness to get back into the game and we won it towards the end of the game".
Pushed on whether he thought Giroud could leave before the transfer window closes on August 31, Wenger was adamant.
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It's only the second time in eight seasons that Arsene Wenger's side have secured three points in their opening fixture.
"We wanted to do that today - unfortunately that didn't happen and it's something where we can look back and analyse the game and see where we went wrong and improve on the situation".
"You come away from home, score three goals and are almost there and then concede two.bitterly disappointed", he said. He adapts slowly to the way we want to play.
Mahrez, who has been linked with a move to Arsenal in the past 12 months, had been a target for Roma. You can not keep the strikers happy when they don't play.
"I think we have all seen the amusing business of the transfer window and we never know what is round the corner".
Now with a weird back four of (from right to left) Alex Oxlade-Chamberlain, Monreal, Kolasinac and Hector Bellerin, Arsenal pushed for an equaliser, and on 83 minutes it came.