Drafted by the Colorado Avalanche in 1999, Radivojevič signed a 3-year deal with the Phoenix Coyotes on June 19, 2001 and played parts of the next three seasons there.

Part of a mid-season trade in 2003–04, he was sent to the Philadelphia Flyers along with Sean Burke and the rights to Ben Eager for Mike Comrie.

[2] In the 2008–09 season Branko established himself as an offensive presence with Spartak, leading the team in scoring with 45 points in 49 games.

In the 2014–15 season, Radivojevic returned to his original hometown club in HK Dukla Trenčín of the Slovak Extraliga.

However, after just 12 games he left for the Czech Extraliga, signing for the remainder of the season with HC Bílí Tygři Liberec on October 14, 2014.