A product of Hajduk Split academy, Krasimir Balakov handed Milić his first team minutes in the Croatian Cup match against Jadran Gunja but his first league appearance came off the bench on 26 November 2011, in a 2–1 win over Šibenik, aged just 17 years, 8 months and 16 days.
He played a significant role in defeating Inter Milan 2–0 on San Siro in the 2012–13 UEFA Europa League.
During Hajduk's winter preparations, he suffered an injury, which kept him off the pitch for nearly two months but he returned and helped his team to reach the 2012–13 Croatian Cup final by scoring the equalizer goal in the away match against Slaven Belupo on Poljud.
On 30 August 2019, Milić joined Spanish Segunda División side Rayo Vallecano on a one-year loan deal.
[4] In August 2018 he was called up as a part of Croatia's UEFA Nations League squad for matches against Spain and England.