The 31-year-old forward sustained the problem prior to France's international friendly against Wales on Friday night, but he played through the pain barrier and scored his 29th international goal as Les Bleus secured a 2-0 victory.
Giroud lasted 73 minutes at the Stade de France but was seen sporting an ice pack once he was replaced.
The former Montpellier ace has now admitted he is unsure as to the extent of the injury but he is certainly a major doubt for France's next match, a friendly clash with Germany on Tuesday.
"It’s a small muscular problem," Giroud admitted. "I put a strap and I took one or two anti-inflammatory drugs, and that allowed me to play. Fortunately it’s because I don’t like forfeit it. I can’t tell you more on Tuesday for the moment."
The problem does not appear to be too serious although Arsenal will still be sweating over the fitness of the forward ahead of next Saturday's clash with Tottenham at the Emirates Stadium.
Arsenal are currently sixth in the Premier League standings and could fall seven points behind Spurs if they suffer defeat to their arch rivals.