French Defence Minister Jean-Yves Le Drian made the appeal at a security conference in Senegal on Monday.
According to a police source, anti terror police units targeted a dozen targets in Toulouse, around Paris and in the northern region of Normandy early on Monday.
French forces killed a leading member of the jihadi group Al-Murabitoun in northern Mali on Wednesday night, the army announced on Thursday.
A commander with the Islamic State (IS) armed group has said his militia should target Lebanon, accusing its government of complicity with Shia-Muslim movement Hezbollah.
In Lebanon, Prime Minister Tammam Salam has appealed for increased outside help to fight jihadist elements in the country. This, ahead of a scheduled visit to France later this week.