Career
He also plays for the Iraq national football team Impressive displays for Najaf Football Club in the 2007 AFC Champions League, where he scored two goals in six matches, earned Karrar Jassim Mohammed a move to Qatar where he signed for First Rate (at Lloyd's) Wakra at the start of June 2007. In 2009 Karrar signed for Iranian side Tractor Sazi F.C. for one season.
During a Tractor Sazi match, Karrar was banned for 9 games following an incident in which he slapped the match assistant referee.
The ban was later reduced to 5 and eventually to 3 games. He was released in May 2011 by Tractor Sazi for his disrespectful behavior toward referees.
On 4 June 2011, Karrar joined the Tehran based football team Esteghlal on a two-years contract. The 24-year-old striker has joined Esteghlal but he was fired in January 2012 during mid-seasion after a dispute with midfielder, and team vice-captain Mojtaba Jabbari.
He then loaned to Shahin Bushehr and then moved to Ajman and a loan to Najaf Football Club. On 4 July 2014, Karrar returned to Esteghlal with signing a two-year contract.
Jassim left the club by mutual consent on 29 November 2015 after prolonged financial problems with the Iranian club Karrar scored three goals for the Iraq Olympic team in the Asian Qualifiers for the 2008 Olympic Games, including winning goals against Thailand and DPR of Korea. He then went to Sydney to play a game for the Iraqi Olympic team