The footage, released by French-speaking ISIS fighters on Tuesday, shows masked terrorist praising the attacks on Paris last month and calling to carry out further terror attacks in France.

In a chilling statement to camera, the terrorist says: 'Don’t give up and particularly don’t lower your weapons, don’t surrender, kill. Today it’s our darwa, kill them, you now have more than 4 million targets.'

A source close to the French investigation into the kosher deli attacks, told CNN that authorities think the woman in the video, seen wearing camouflage clothing and holding a weapon, could be Hayat Boumeddiene.

Boumeddiene is the wife of Amedy Coulibaly, the terrorist gunman who killed four hostages at the kosher Hyper Cacher market in the eastern part of the French capital on January 9.