The France international started just 11 Premier League matches last season, with a further 18 appearances off the bench, netting 12 goals as the London club finished the season fifth.
Despite recently penning an extension with the club until 2020, the 30-year-old admits the frustration of being continually benched has reached boiling point, and he may have to consider a future elsewhere.
"I will put up with the transfer market,” he said. “I will discuss with the coach, but he is relying on me.
"It is true that I have had limited playing time but it was for a certain amount of time, it is true there were things against me. I will not settle for another year with such little playing time.
"I will have to think carefully to consider it with my relatives and my advisers. It will be a decision that will be maturely thought about to have more playing time."
Giroud says he is committed to the Gunners for now, but is unsure what the future may hold.
"I still have two or even three years left on my Arsenal contract, for the moment my future is at Arsenal,” he said.
"I feel good here, I want to win the Premier League with Arsenal. But I don't know what the future holds."