Heer Luftwaffe Fallschirmjager patch. The Fallschirmjäger were the paratrooper branch of the German Luftwaffe before and during World War II. They were the first German paratroopers to be committed in large-scale airborne operations. Throughout World War II the Fallschirmjäger commander was Kurt Student. Fallschirmjager regiments, divisions, and units were in the Luftwaffe, Heer and the Waffen SS.