[2] Wünsche was then posted to the Leibstandarte SS Adolf Hitler (LSSAH) as a platoon leader.

In that role, Wünsche joined the Führerbegleitkommando (the SS bodyguard unit), which provided personal security for Hitler.

On 25 February 1943, Wünsche's battalion went into action against a defensive position occupied by the Soviet 350th Rifle Division.

Supported by artillery and a company of SS grenadiers, Wünsche's battalion attacked and overran the Soviet front lines.

The division was later trapped in the Falaise pocket, where on the night of 20 August, Wünsche escaped on foot.