The French global is yet to start a Premier League game this season, with Alexis Sanchez and Alexandre Lacazette both preferred up front. Giroud has received less than 200 minutes of Premier League action so far this season, spread over 10 substitute appearances, latest being against Manchester City in the Gunners' 3-1 loss at the Etihad.
"For the moment I am not questioning myself about my future", he told United Kingdom newspapers. "I am happy at Arsenal and I am fine with the decision to stay because I want to", said the Frenchman, via the Daily Mail.
'For the moment I am not questioning myself about my future.
"They're a great team with so many options so it was a tough task for us tonight", Arsenal midfielder Ramsey told BBC Sport .
"I'm sure Arsene was watching, especially because Aaron [Ramsey] was playing too", said Giroud.
"I always try to give everything for my country and I'm very proud to play for France".
Following Giroud's withdrawal from the squad, Didier Deschamps is yet to call-up a replacement.
The 31-year-old, injured in Friday evening's 2-0 win over Wales in Paris, underwent tests in Rambouillet on Saturday and was shown to have suffered a right thigh strain, t he French Football Federation confirmed on its website on Sunday.
And Giroud was thrilled to be in such elite company behind one of his childhood idols: "Papin was one of my favourite players".
"Usually, I play a bit less with Arsenal but I always try to keep my efficiency high". That's most important for me.