It was striker's first shot for his new club and he now becomes just seventh Arsenal player to score on his debut.
Giroud was dropped to the bench in favour of new signing Alexandre Lacazette - who opened the scoring after less than two minutes - but showed again that he can have a big impact as a super sub for the Gunners.
Speaking to Sky Sports after Friday's game, Wenger said: "He doesn't want to leave, and I'm happy that he wants to stay".
"I opened the door for him, because I knew we had many strikers, but he's really loved here and he chose to stay".
"I know that it's important for him to play".
'It's impossible. You know that you can not keep them happy when they don't play, ' Wenger told Sky Sports.
'He is loved here and we are very happy he chose to stay'.
Typical Arsenal though, they conceded an equaliser just three minutes later when Harry Maguire headed back across goal excellently for Shinji Okazaki to nod home past a hapless Peter Cech.
"The first goal was from a short corner and we were not focused enough".
In the 67th minute Giroud and Ramsey were brought on for Elneny and Holding, and those men would help turn the tide in Arsenal's favor.
One of those was from playmaker Alex Oxlade-Chamberlain who, from the start, played the game with an attacking mentality and created a number of incredible chances.
"I'm always looking for the positives, we came to the Emirates and the players executed the game plan".
"I think we have all seen the amusing business of the transfer window and we never know what is round the corner".