Giroud has been linked with a transfer away from the Emirates during this window.
Chelsea have been eyeing a swoop as their desperate chase for an experienced target man continues.
Gunners chief Arsene Wenger says Giroud will only be allowed to pack his bags if they can source a replacement.
Bundesliga sensation Pierre-Emerick Aubameyang has been hotly tipped to move to north London.
However, Arsenal are yet to match Borussia Dortmund’s valuation which is though to be in excess of £50m.
Giroud was touted a potential makeweight in a deal for the Gabon international – but his wife was apparently unenthusiastic about the proposed change of scenery.