"But has the last word been said? Must hope disappear? Is defeat final? No! Believe me, I am speaking to you with full knowledge of the facts and who can tell you that nothing is lost for France. The same means that overcame us can bring us victory one day. For France is not alone! She is not alone! She has a vast Empire behind her. She can align with the British Empire that holds the sea and continues to fight. She can, like England, use without limit the immense industry of the United States." (http://www.artofmanliness.com/2008/08/01/the-35-greatest-speeches-in-history/)
The Free Forces, operating out of England, gradually took over colonial outposts in Africa (l'Armee d'Afrique). They joined forces with the French Free Forces to form L'Armee Francaise de la liberation. Multiplying to 400,000 strong by D-Day in 1944, they participated in the Normandy landings and the invasion of Southern France, culminating with the liberation of Paris. Charles DeGaulle, who had inspired the movement, headed up the new post war government. (https://en.wikipedia.org/wiki/Free_France)
Crowd members hold up sign saying "Vive de Gaulle" on Liberation Day in August of 1944 courtesy https://en.wikipedia.org/wiki/Free_France#/media/File:Crowds_of_French_patriots_line_the_Champs_Elysees-edit2.jpg.