The France international's comments follow reports that Wenger is looking to boost his firepower at the Emirates, as the Gunners chase a first Premier League title in 10 years.
Giroud has netted 11 goals in all competitions for the north London side this season, including the only goal in Sunday's impressive win at Newcastle.
That victory lifted Arsenal back to the top of the Premier League table heading into 2014 at the halfway stage of the season.
And the 27-year-old believes Arsenal have more than sufficient attacking options at their disposal for the remainder of the campaign.
He is quoted as saying by French TV station Canal+: "If the coach wants me to rest, he can do it without buying a new striker.
"Lukas Podolski is having a good comeback. Theo Walcott can play as a striker. We have the quality and the quantity.
"I would rather not see a new striker come in."
Cannot see a stellar signing in January, not Wengers style, but relying on Theo or Bentner is the alternative. Best chance for a while for the title. Wengers Choice. @poopularpete, things not looking too good in leixlip I take it. Awww, bless, cheer up wee man.- hump3