Žungul made his debut for Yugoslavia in a September 1974 friendly match against Italy, coming on as a 46th-minute substitute for Danilo Popivoda, and earned a total of 14 caps, scoring no goals. He played in Euro 1976 but never played in the World Cup because he did not serve the mandatory stint in the Yugoslav People's Army (JNA). His final international was an October 1978 European CHampionship qualification match away against Romania.
