The 25-year-old has scored 11 goals in just 14 appearances this season.
After signing from French second division side Tours, Giroud won his first cap for the French senior side after coming on as a substitute against USA last month.
Montpellier are holding out for a bid in the region of £10 million, though there are reports that Arsenal could offer defender Sebastien Squillaci as part of a deal.
Source: FOOTYMAD
