In the US military, once enough M1's (in contemporary usage, I've never seen it called the Garand, that seems to be a later term) were available, it was the standard infantry weapon.

Each platoon on paper had a scoped Springfield available to be issued to whatever farmboy came along who knew how to shoot.

In the Soviet army, the semi-automatics were originally intended to be replacing all the bolt action rifles but with the German invasion, this never took place. Each battalion was authorized a small number of guns to distribute as they saw fit. It was fairly common for squad leaders to carry them, reflecting the tendency to keep the squad leader with the machine gun team.

German service I am not sure for mid war but by 1944, the issue was a number of guns per battalion, again to be parcelled out as they saw fit. A third of issued G43 rifles were scoped. The number issued would come out to roughly 2 per squad if distributed evenly throughout the battalion infantry squads but in many cases, the guns were simply not available.