Career
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. Participant of a mid-season trade in 2003-2004, he was sent to the Philadelphia Flyers along with Sean Burke and the rights to Ben Eager for Mike Comrie. After 2005-2006, the Flyers declined to tender him a qualifying offer, thus making him an unrestricted free agent.
He signed with the Minnesota Wild as an unrestricted free agent on July 6, 2006.
After a couple seasons with the Wild, he opted to go to the KHL. After two years with the Wild, Radivojevič signed with Spartak Moscow of the Kontinental Hockey League (KHL). In the 2008-2009 season Branko established himself as an offensive presence with Spartak, leading the team in scoring with 45 points in 49 games.
He was re-signed to a further two-year contract with Spartak on December 23, 2009. After three seasons with Spartak (during the last one he was the captain of the team) Branko decided to change the team
After some arguments with Spartak"s management his contract was terminated and Branko signed with Atlant Moscow Oblast.
After spending only one season with Atlant (2011–2012) he returned to Spartak. Foreign 2013-2014 season he signed with Neftekhimik Nizhnekamsk, but changed the team during the season for Slovan Bratislava. In the 2014-2015 season, Radivojevic returned to his original hometown club in Hong Kong Dukla Trenčín of the Slovak Extraliga.
However, after just 12 games he left for the Czechoslovakian Extraliga, siging for the remainder of the season with The Human Context Bílí Tygři Liberec on October 14, 2014.