Giroud has endured a turbulent season at the Emirates after revelations he had slept with a model the night before the club's home fixture against Crystal Palace on February.
The married Frenchman was subsequently dropped by manager Arsene Wenger, although he has started Arsenal's past two matches.
However, the 27-year-old has quashed talks of a possible departure, stressing he has no intention of leaving the Premier League side.
"You shouldn't listen to that," he said. "A lot of things were said.
"I'm still happy in London and with Arsenal and think I will be in the future.
"I have a contract until 2016 and I'm an Arsenal player. I want to be here next season, at least that's my will."
But Giroud, who was signed by Wenger from Montpellier in 2012, is determined for the 64-year-old to stay put.
"Of course we all want him (Wenger) to continue the adventure," said Giroud.
"I'm sure that next season we can challenge for the title - I hope, right until the end (of the season) - and we need the coach. We need his experience. He must stay."
