Born in Foča, SR Bosnia and Herzegovina, Raščić began his career playing with FK Željezničar in the Bosnian Premier League, often appearing upfront alongside a young Edin Džeko.

After making 26 league appearances and scoring 8 goals, in the winter break of 2010–11 he moved abroad again, this time to Serbia by signing with a newly promoted SuperLiga side FK Novi Pazar.

[4] Upon the advice of his former teammate and longstanding mentor, Alen Bajkuša,[5] Raščić joined Hong Kong First Division League club Sun Pegasus on 11 July 2013.

Unfortunately, the goals scored in both matches were later rescinded by the Hong Kong Football Association following its decision to disqualify Tuen Mun and Happy Valley from further participation in the league.

[8] After leaving Goražde in June 2017, in August 2018, 1 year later, he signed for Second League of FBiH - Center club NK Azot Vitkovići,[9] where he later became manager.