Career
Hajduk Split
Radošević started his career playing at youth level for his hometown club Hajduk Split. The talented midfielder was promoted to Hajduk"s senior side in November 2011. In season 2011-2012, Radošević started featuring as a regular in Hajduk first eleven, after Mišo Krstičević, who had previously coached Radošević in Hajduk Split youth team, was appointed as the new manager.
In 2012-2013 he established himself as the key player in defensive tasks in Hajduk midfield, appearing in 17 domestic league games before being transferred to SSC Napoli.
Napoli
On 29 January 2013, Radošević was loaned to Serie A side Napoli for a fee of €2 million euros. He will be on loan until this summer when Croatia became part of European Union so he won"t be foreign player when he signs contract in summer.
Hajduk Split will get another €1 million euros when he completes his transfer. On 25 August 2013, he made his official debut for Napoli in the first round of the 2013-2014 season against Bologna, coming on as a substitute for Gonzalo Higuaín in the 84th minute.
= Rijeka (loan) On 4 February 2015, Radošević was loaned to HNK Rijeka until 31 December 2015.
He scored his first goal for the club in a dramatic fashion, when he scored an equaliser in the fourth minute of stoppage time against Dinamo Zagreb on 4 April 2015. Radošević was a part of the Croatian national under-17 team in the qualifications for the 2011 Union of European Football Associations European Under-17 Football Championship, playing in all six group games. Although Croatia ended qualifications undefeated, in the elite round they finished runners-up in the group behind hosts Netherlands and failed to qualify.
Overall, he gathered 35 appearances for the youth teams, scoring two goals.
On 11 September 2012, Radošević made his full debut for the national side in a 1–1 draw against Belgium, making him the youngest player to debut in the history of the national team