The 25-year old striker scored 21 Ligue 1 goals last term to guide La Paillade to their first top flight Premiership ever and he now feels he can help the Gunners to glory despite them not having won any silverware in seven year.
"It's true that it was an extraordinary season with Montpellier," Giroud told the club's official website.
"I won't ever forget that season because in a footballer's career, winning the title isn't forgotten so fast.
"With Montpellier, it wasn't written that we were going to be champions, so that's what made it more beautiful.
"With Arsenal, we might not be favourites, like the Manchester clubs, to be champions. We're outsiders, but I'm convinced that we can do something big. That's what we did with Montpellier, and I'm proud with what I accomplished there."