http://en.wikipedia.org/wiki/List_of_World_War_II_weapons_of_France
Contrary to popular belief, France did make their own weapons, tanks, uniforms and airplanes. It wasn't until after the Battle of France that the Free French Forces were forced to borrow American and British guns, so seeing as CoH2 is a game rather than a simulator I don't see the problem with adding the French Army with their tanks, weapons and equipment from 1939-45.
Here's a fun fact, did you know that the French Char B1 was considered the best tank in the world? It was strong enough to engage German panzers head on during the Battle of France. Their main infantry rifle which was the Fusil MAS36 was considered the primiere bolt action rifle in WW2. While the Lee Enfield, Mosin Nagant and K98 were excellent rifles, the MAS36 was extremely accurate and very powerful. One thing was for certain; the French troops could rely on the MAS36 in a tough battle.
Aside from the fact that the French did have their own artillery, tanks, airplanes, pistols, machine guns, rifles, equipment, uniforms and etc the French would make a good addition because of a few reasons:
A) The new US and German faction look really good, wouldn't you agree? Relic maanaged to make these factions extremely unique and not just copy-paste factions, so I imagine they can do the same for the French. I personally welcome more variety in factions and i'm not in any rush to have Relic add any factions any time soon since they're going to release two factions in 20 ish days.
B) I'm of French ancestry/blood and it would nice to see Relic give the French Army their due credit. The French fought the hardest in WW1 and the French Army fought with valour and courage in both World War's. While the French Army(Official Government one) got defeated in the Battle of France, they never stopped fighting and eventually defeated the Germans and won WW2. It's only right if Relic would add the French Army.