Slišković was most famous while playing for French Ligue 1 club Marseille. Even though he played only one season for the club, he showed what an unbelievable player he was and showed what a great football technician can do with a ball. After Marseille, Slišković played in Italy with Pescara, before returning to France and playing for Lens, Mulhouse and Rennes. In 1992, he returned to Italy and came back to Pescara. In 1993, Slišković left Italy and joined Croatian club Hrvatski Dragovoljac, where he stayed until 1995. Finally, in 1996 he joined Bosnian club Zrinjski Mostar, where he eventually finished his career in 1997 at the age of 38.