What would you do with the Free French? Those individuals who refused to stand by the decision of their elected government to surrender to the Nazis and decided to cross the channel and continue the fight - sometimes against their own countrymen. Those men were deserters. Imagine having to stand next to such a person at the end of the war?
Good question.
But as French 3rd Republic ceased to exist, your country is occupied and Army was stood down then how can you desert something which has ceased to exist.