Giroud began the 2016/17 season out of the Arsenal squad after returning late from the European Championships.
Alexis Sanchez's impressive form as the lead striker then meant Giroud was forced to settle for a role off the bench and his first league start of the season only came in December 2016.
At the beginning of the year, Giroud made a series of starts as Wenger moved Sanchez back to the left.
By the end of the season Giroud was alternating with Danny Welbeck as Arsenal's main striker.
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I will not settle for limited playing time (next season) like I have this season
And suffered the disappointment of not starting the FA Cup final, although he did provide the assist for Aaron Ramsey's winner.
Giroud ended the season with 19 goals for club and country but Wenger is expected to attempt to sign a top striker in the transfer window.
In January the 30-year-old signed a new two-and-a-half year deal until 2020.
Olivier Giroud has made his feeling known about Arsenal
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But he has now made it clear he will not be happy at a limited role next season.
He said: "Wenger is counting on me even though he hasn't used me much.
"I will not settle for limited playing time (next season) like I have this season."