 Kọ itẹsiwaju fun paragirafi yii - Obradović ṣiṣẹ bi olori olukọni ti agbalagba FR Yugoslav national team, lati ọdun 1996 si 2000. Pẹlu FR Yugoslavia, o gba ami ayo fadaka ni Awọn ere Olimpiiki Igba Irẹdanu Ewe 1996, ami ayo goolu ni EuroBasket 1997, ami ayo goolu ni 1998 FIBA World Championship, ati ami ayo idẹ ni EuroBasket 1999 : ó ṣe tán. O tun jẹ olukọni olori ẹgbẹ agbabọọlu orilẹ-ede Serbia ati Montenegro, lati ọdun 2004 si 2005. 