Noel Le Graet wants Zinedine Zidane to replace Didier Deschamps at some point - potentially after the 2022 World Cup.
Didier Deschamps backed Zinedine Zidane to eventually take over as France head coach.
France will have a chance to defend their World Cup title at Qatar 2022 but Didier Deschamps is not looking beyond Euro 2020 yet.
Didier Deschamps coached France to World Cup glory in Russia and will lead the team again at Qatar 2022 after signing an extended deal.
France coach Didier Deschamps acknowledged Group F at Euro 2020 would be tough.
Sunday's 2-0 win over Albania saw France give Didier Deschamps reason to celebrate in his 100th game at the helm of Les Bleus.
Karim Benzema hit out at the head of the French Football Federation who said the Real Madrid striker's career with Les Bleus was "finished".
France were below their brilliant best against Moldova and, although they qualified for Euro 2020 on Thursday, Didier Deschamps was unhappy.
France already had Euro 2020 qualification secured heading into Thursday's clash with Moldova, but moved top of Group H with a 2-1 triumph.
Didier Deschamps excluded Anthony Martial from his latest France squad but the Manchester United forward remains in his thinking.