The Sturmgeschütz was to become such a fixed part of the thinking of the German forces that, five years after the French campaign, the US army handbook dedicated an extended section to the German use and handling of assault guns:
“The assault guns are organised in assault gun battalions and are under the control of the division commander.
The Germans regard their self-propelled assault guns as decisive weapons to be employed, particularly at the point of main effort. In cooperation with infantry they facilitate the penetration and breakthrough. These weapons, the Germans believe, complement artillery fire by their ability to follow the infantry right up to an objective.. Their use for small actions before an attack is forbidden so as not to betray their presence. Surprise is sought by bringing them into position by night and camouflaging their assembly area. Used primarily to neutralise enemy support weapons at short ranges over open sights, assault guns are preferably employed in concentrations; to employ them singly or in comparatively small numbers is frowned upon by the Germans.
German assault guns advance with or just behind the infantry: they never go ahead of the infantry. When an objective reached, the assault guns do not remain with the infantry while the position is being consolidated but retire about 1000 yards to await further assignment.
In close combat the assault guns are rather helpless and therefore it is the task of the infantry to keep the enemy away from the assault guns;
Newly-organised assault-gun escort batteries have the same task.”