Career
Early career in Slovenia
Andjelković started his career in his hometown Kranj playing at local club Triglav. In 2008 he joined Drava Ptuj where he made his debut in the top division of Slovenian football, 1. SNL. During the winter transfer window of 2009-2010 season he was acquired by Maribor where he soon established himself in the first team
In two seasons with Maribor he played a total of 30 matches scoring 2 goals in the 1.
SNL. Palermo and loans
In late November 2010 it was announced by Zlatko Zahovič, Maribor"s sport director, that Serie A side Palermo were in advanced talks to sign Anđelković permanently. The transfer was made official on 7 December 2010.
The transfer fee paid by Palermo was undisclosed but it was said to be the record transfer fee paid for a defender from 1. SNL. On 16 August 2011 he moved on loan to Serie B club Ascoli.
The following year he goes on loan to another Serie B club Modena.
He returned to recently relegated Serie B club Palermo at the end of the season, after his Modena loan expired, ensuring immediately a place in the starting lineup alongside Ezequiel Muñoz and Claudio Terzi. Anđelković made his senior international debut for Slovenia on 9 February 2011, appearing in a friendly game against Albania in a squad that also included Palermo teammates Armin Bačinović and Josip Iličić.