[7] When AIK defender Per Karlsson was injured during pre-season training, Milošević was selected to play from start in the first home game of the 2011 season against Mjällby.

[9] Liverpool, Arsenal, Spurs and Sunderland all had scouts keeping a very close eye on the young defender.

[16] On 7 January 2015 Milošević signed a 3.5-year (with option to extend 2 more years) deal with Turkish club Beşiktaş for a fee of €1 million.

[26] On 29 July 2020, Milošević joined Danish Superliga side Vejle Boldklub on a free transfer, signing a two-year deal.

[33] Milošević made his full international debut for the Sweden national team on 26 January 2013, replacing Nicklas Backman in the 79th minute of a 3–0 friendly win against Finland.

[34] He made his competitive international debut for Sweden on 14 June 2015 in a UEFA Euro 2016 qualifier against Montenegro, playing for 90 minutes alongside Erik Berg at centre back in a 3–1 win.

[35] Alexander's father Goran Milošević immigrated from Serbia,[36] and his mother Monica is Swedish of Finnish descent.