Indeed, Giroud has played only 40 minutes of football so far this term and did not feature in Saturday's 2-0 win at Bournemouth.
The 31-year-old, who has been linked with a move to Marseille, admitted that all options remain on the table despite his deal coming close to an end.
"I still have one year of contract, plus possibly another year," Giroud told Telefoot. "The board of the club have been positive in terms of giving me it.
"I do not know yet, we'll see how things are in April or May, but I won't exclude any possibility. We'll see."
Giroud has played 20 times for the Blues and has scored five times, setting up a further three goals.