Giroud sealed the win with a thumping header five minutes from time to seal for the Gunners their first win of the new season.
"Going forward and character wise we have been great", said a relieved Wenger, who will be seeking a first league title since 2004 after being handed another two years in charge. At one stage I opened the door for him because he knew I had many strikers.
"I keep the faith and I still believe I can have an important part to play this season in the club".
"It's different to the French league, but I knew that already".
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It was an incredible escape act from Arsenal, but Giroud claimed his team, who dominated possession and peppered the Leicester goal, never doubted they would hit back. "Top quality game and you want PL to be best in the world and you have to produce games like that", Wenger told reporters. He doesn't want to leave and I'm happy he wants to stay. "One was a corner, one on build-up, one on a corner again", he said.
Wenger said he gave Giroud the option to leave for another club this summer in search of more regular playing time but was thrilled when the striker chose to stay. "He's really loved here and in the end he made a decision to stay".
The Arsenal netminder was caught in no man's land for Leicester's opener as Okazaki sent a looping header into the net.
"We were quite good last year on corners and with a bit of work we can get that out of our system", added Wenger, who has been given another two years in charge of Arsenal.
"Starting games is a different thing altogether, but he will score goals".
"There were hard moments when we were down and we managed to get out of that and it's great to see".