Lützow graduated with his Abitur (university-preparatory high school diploma) on 31 March 1931 from the Schulpforta, a boarding school for academically gifted students.
Following his return from flight training, Lützow joined 5. (Preußisches) Infanterie-Regiment (5th (Prussian) Infantry Regiment), at first in Greifswald (15 October 1932 - 31 January 1933) as a Offizieranwärter (officer candidate).