You are right it could and it very much had, this has been shown at the resistance put up in Hungary by the Germans. If Romanian would have not turned on the Allied side this would have proved even more efficient.
I would like to also add that it is not only the training but the sheer experience that the German soldiers gained by that point in the war. Correct me if I am wrong but I do believe that the German soldiers had the most warfare experience within WW2.