Between 1992 and 1993, Prunk served as Minister for Slovenes outside Slovenia and National Minorities in Slovenia in the first coalition cabinet of Janez Drnovšek.
Mellem 1992 og 1993 arbejdede Prunk som Minister for Slovenerne udenfor Slovenien og for nationale minoriteter i Slovenien i Janez Drnovšeks første koalitionsministerium.