The forward has not started a single Premier League match this season but has come off the bench to score four times in 13 appearances this term, including against Southampton on Sunday.
That strike made it 17 goals from the bench for Giroud since arriving in 2012, taking him level with Manchester United legend Ole Gunnar Solskjaer’s Premier League record of substitute goals.
However, with the 2018 World Cup on the horizon and Giroud’s spot in the France squad in doubt, a move away from the Emirates Stadium in search of regular game time may be his only option.
"I have the World Cup at the back of my mind weekly, almost daily. Each time I go onto the pitch, it's to be more clinical and keep on track for the World Cup," Giroud told L'Equipe.
"During international get-togethers, the coach usually warns me against that [leaving Arsenal]. He has told me the things he wanted to tell me, which is totally logical and I understand. He wants me to play more.
"If I wasn't able to leave this summer, it was because of the opportunities I had. It wouldn't have been good to leave for leaving's sake, but it's certain that eventually, even in January, I'm going to have to ask myself the question again," the French forward explained.
"It won't be easy to find the right solution and take the right decision, but we'll look at the opportunities."