The France striker has been linked with a return to Ligue 1 in recent weeks.
"My contract runs until 2016, of course I'll be a Gunner next year. Do not listen to the media, I'll be happy to stay in London and with Arsenal," said Giroud.
On Gunners boss Arsene Wenger, he added: "We want Arsene to extend his adventure. I am sure we will be in the mix in the title race next season. He must stay."
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