There were a number of foreign born soldiers conscripted by the German forces throughout the war including some in the Waffen SS. Many of the black forces were taken from the French foreign legion.
There were also a foreign born volunteers notably the 13th Waffen Mountain Division of the SS Handschar, made up of predominantly Muslim Bosniaks who served mostly in Yugoslavia.
It would be generally incorrect to describe them as Nazis since most probably didn't follow the parties ideals and the vast majority were conscripts.