Rising through the ranks of the NK Osijek academy, Mišić made his senior team debut in the UEFA Europa League qualifiers 3–1 home win against FC Santa Coloma, coming in for Zoran Kvržić.
[6] Following three successful years with Rijeka, in January 2018 Mišić moved to Sporting CP on a 5+1⁄2-year deal, with the transfer valued at €3 million.
[9][10] Despite the attack, he and the rest of the team agreed to play in the Portuguese Cup final scheduled for the following weekend,[11] eventually losing to C.D.
[12] On 22 March 2020, after a remarkable season (the Croatian midfielder has provided an impressive total of eight assists, also scoring five goals including a last-gasp equaliser against arch-rivals Aris) and despite reports on the contrary in Portugal's press, it is clear that PAOK's agreement with Josip Misic will take place in the next months and the Croatian will sign a yearly contract with the Greek club.
[13][needs update] He made his debut for Croatia in a January 2017 China Cup match against Chile and his second and final international was three days later in the same tournament against the host nation.