They didn't have to. The Wiemar Republican already did.
This quote however is accurate.
Der größte Unsinn, den man in den besetzen Ostgebieten machen könnte, sei der, den unterworfenen Völkern Waffen zu geben. Die Geschichte lehre, daß alle Herrenvölker untergegangen seien, nachdem sie den von ihnen unterworfenen Volkern Waffen bewilligt hatten.
[The most foolish mistake we could possibly make would be to permit the conquered Eastern peoples to have arms. History teaches that all conquerors who have allowed their subject races to carry arms have prepared their own downfall by doing so.]
-- Adolf Hitler (1889-1945), April 11, 1942, quoted in Hitlers Tischegesprache Im Fuhrerhauptquartier 1941-1942. [Hitler’s Table-Talk at the Fuhrer’s Headquarters 1941-1942], Dr. Henry Picker, ed. (Athenaum-Verlag, Bonn, 1951)
Probably at the behest of their French masters.