Edouard Guillaud's remarks are the first indication from the French government that Abou Zeid died in fighting in the rugged north of Mali.
Asked on Europe 1 radio whether he had been killed, Guillaud said: "It is probable but only probable. We don't have any certainty for the moment (but) it would be good news."
Chad's army, which is fighting alongside French forces in northern Mali, said last week that it killed Abou Zeid and another al Qaeda commander in the area, Mokhtar Belmokhtar.
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ