The France international, who scored the winner at Newcastle on Sunday, believes he, Theo Walcott and Lukas Podolski have what it takes to lead the Gunners' title challenge.
Goal understands the Gunners have drawn up a wish list of five stellar names to pursue when the market reopens Wednesday, while many pundits suggest Wenger needs a quality forward to compete with Giroud.
The Gunners came from behind to beat West Ham on Boxing Day thanks to two goals from Theo Walcott and one from the returning Lukas Podolski, before Giroud struck the decisive goal against Newcastle on Sunday, and the France striker believes the club is well-stocked in attack.
"We have the players to play up front," he said in an interview aired by Canal+ on Sunday morning, before his strike saw off the Magpies at St. James' Park. "Lukas is having a good comeback. Theo can play as a striker. We have the quality and the quantity. If the coach wants me to rest, he can do it without buying a new striker. I would rather not see a new striker come in.
"I always have to recover, to get massages, to eat well, to sleep well. This is how we live. I am lucky to not be injury-prone. I have a body that tolerates the accumulation of games."
Giroud's winner against Alan Pardew's side was his first league goal in five outings, and he said that things have not been going well for him following a blistering start to the campaign.
"Not to score, for a forward, is a bit boring," he continued. "There's a lack of luck ... not being in the right place at the right time. Luck was on my side at the start of the season. Not any more. I know my quality, I know it's going to come back. As a striker, I'm the first defender of the team. It’s always a pleasure to help the team win back the ball. This is modern football, it's all about pressing."