He played professionally, initially, with FK Rad and Bulgarian Slavia Sofia.

In 2004, he signed with the American MLS team Kansas City Wizards[1] but only played in one game for them during the 2004 season.

Rašović played five times for the FR Yugoslavia national team, making his debut on 14 June 1997 against Egypt.

On 2018, Rašović signed for UAE side Al Dhafra, during his two-year spell, he would get them to qualify for two UAE President's Cup finals, he lost one and the second final was cancelled due to the COVID-19 pandemic in the United Arab Emirates.

On 21 June 2021, Rašović was appointed as the manager of newly promoted Saudi Arabian side Al-Fayha.