"At one stage I opened the door for him as I knew I had many strikers, and in the end he made a decision to stay", Wenger told BBC. "He has a big weight in the squad and it was a relief for me that he chose to stay".
"Not only as a player, he is a fantastic player, but as well in the group".
"He doesn't want to leave and I'm happy he wants to stay".
"We kept the faith and kept believing in our game to push hard", said Giroud who has vowed to fight for his place.
"We're disappointed to score three and come away with a defeat", said Leicester manager Craig Shakespeare. "He is a collective player, an intelligent player as well".
Okazaki equalized for the visitors in the fifth minute at the Emirates to cancel out the opening goal for Arsenal's summer signing Alexandre Lacazette, who netted after just two minutes. "Yes, but we scored four goals as well and the game was of quality".
Lacazette almost had his second of the night just minutes later, but Leicester keeper Kasper Schmeichel turned the shot aside, but Giroud beat the Dane with an exquisite header on the ensuing corner to give Arsenal the 4-3 victory.
"We had some avoidable goals which we conceded and overall we have to work on that", he said referring to poor marking in the by his team's defence. One was a corner, one was a ball we lost in the build-up and the third goal was a corner again.
"We were quite good previous year on corners and overall I believe that with a bit of work we can get that out of the system". "With a bit of work we can get that out of the system".
Substitute Ramsey smashed in an angled drive - from a corner which was won after Mesut Ozil handled in the build-up - before Giroud showed athleticism and strength to meet Granit Xhaka's corner.
But he drew encouragement from his side's display.
Gary Neville added: "I spoke to Danny Simpson and he said decisions like that always happens here".
"Of course I have a dejected dressing room but to come here and score three has to be pleasing in some respects, but it doesn't feel like it at the moment".
After being knocked down, Leicester got right back up with a second Vardy goal to take the 3-2 lead.
When asked if he expected Mahrez to stay, he said: "Who knows?"
"We all know Jamie Vardy's attributes". We encourage him to do that.
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