Starting off his career with IF Brommapojkarna in the late 1990s, Djordjic soon joined Manchester United, with which he was named the 1999–2000 Jimmy Murphy Young Player of the Year, and AIK, with which he won the 2009 Allsvenskan and 2009 Svenska Cupen.

He represented clubs in Sweden, England, Denmark, Serbia, Scotland, Hungary and Belgium before finishing his career with Chennaiyin in the Indian Super League in 2015.

Although born in the former Yugoslavia, Djordjic was a youth international for Sweden between 1998 and 2003, representing the Swedish U17s, U19s and U21s a combined total of 44 times, scoring three goals.

Born in Belgrade, SFR Yugoslavia to professional footballer Ranko Đorđić, Bojan started his career at IF Brommapojkarna before moving to Manchester United in 1999 as a youth player.

He was loaned to Sheffield Wednesday, Aarhus GF and Red Star Belgrade, where he scored his first senior goal against Odense BK in the 2003–04 UEFA Cup.

[4] Djordjic moved to Plymouth Argyle on at the end of the 2004–05 season having made four league appearances during Rangers title winning campaign.

[5] On 24 August 2006, after spending just over a season at Plymouth, Djordjic was placed on the transfer list by manager Ian Holloway as a result of his sometimes lax attitude towards the team when playing and training.

He was removed from the transfer list the following week, and went on to score in the next two consecutive games (Leeds United and Luton Town).

The coach Mikael Stahre left for Panionios GSS and much criticism was aimed at the team's bad performances.

[20] On 21 August 2014, Djordjic was a picked in the inaugural ISL International Draft, signing for Indian Super League side Chennaiyin.

[27][28] Annoyed over Djordjic's question about the lack of playing time given to the forward Jesper Karlsson (who hadn't seen any action several days earlier in Sweden's qualifier loss to Belgium and who despite being brought on for only the last eight minutes of regulation versus Azerbaijan still managed to score a goal), Andersson retorted angrily about "being sick of this nonsense" before twice dismissing Djordjic's questions about Karlsson as "whining".