The Frenchman moved to the Emirates Stadium from Ligue 1 champions Montpellier in a reported £10m move this summer.
Giroud has yet to find the net in three Premier League appearances and has admitted that he has been 'freezing up' in front of goal.
However, the 25-year-old is positive that he will soon find his scoring form for a team that he is 'comfortable to be a part of'.
"I've been freezing up a little bit just when I've been about to pull the trigger and that's exactly what happened in my first few matches for France," Giroud told FIFA's official website.
"I'm not too worried about it, because I've been scoring in training and I feel pretty comfortable being a part of this team.
"I just need to not think about things too much, so that I feel as relaxed as possible when the time comes to stick the ball in the net."
Giroud scored 33 times in 71 appearances for previous club Montpellier.