The 31-year-old scored his 29th goal for France during Friday's 2-0 win over Wales but was substituted in the 73rd minute due to the injury.
Giroud, who has scored three goals for Arsenal this season, could be a doubt for the north London derby at home against fierce rivals Tottenham Hotspur in the league on Saturday.
International friendlies
Kirby's early goal sees Lionesses triumph over Brazil
06/10/2018 AT 14:43
France manager Didier Deschamps is yet to call up a replacement for his side's clash with the world champions.
International friendlies
England hold Brazil in dire encounter
14/11/2017 AT 19:26
International friendlies
England could stage mock penalty shootout before packed Wembley
13/11/2017 AT 10:51