After ending his career as a player he started coaching. Pospíchal coached several top Czech clubs, including Baník Ostrava (1972–1975), Bohemians Praha (1977–1987) and Slavia Prague (1987–1988). He won Czechoslovak League with Bohemians in 1983.
Pospíchal is credited with his famous saying: "Football has no logic" (Fotbal nemá logiku).