According to African Soccer News, the country's federation (FEGUIFUT) has decided against renewing the deal.
The Frenchman took at the helm of the Nzalang Nacional in November 2019 after he was sacked as Harambee Stars coach.
The tactician has also revealed he is keen on making a return to the touchline as soon as possible.
Migne who led Kenya's Harambee Stars in the 2019 African Cup of Nations was handed the reign of the team in November 2019 to replace Spaniard Angel Gomez.
Kenya qualified for biennial competition for the first time since 2004, after finishing second to Ghana in their group during the qualifiers.
The East Africa nation camped in France with players getting hefty allowances to motivate them to perform well.
Despite good preparations, Kenya lost 2-0 and 3-0 to Algeria and Senegal, respectively, and won 3-2 against Taifa Stars.
Migne was in charge during E. Guinea's two 2021 Africa Cup of Nations qualifiers against Tanzania and Tunisia, losing 2-1 and 1-0, respectively. The other team in Group J is Libya.
