Kenan Muslimovic passed through the youth systems at AKA Austria Vienna, AKA Admira Wacker and FC Novara Berretti. He became a professional player in the 2015/16 campaign with the team of FC Mladost Kakanj. Muslimovic also played for the Serbian FC Novi Pazar and German FC Kaiserslautern II, FC Regensburg II and FC Pipinsried.
As of February 2020 he has been in the main squad of PFC Lokomotiv Plovdiv. He won the Bulgarian Cup and the Bulgarian Supercup trophies with the black-and-whites in the very same 2019/20 campaign.