Career
After coming to Israel in 1988 he played for Maccabi Netanya as a defender. In a long coaching career in Israel he became the assistant coach with Maccabi Netanya, Tzafririm Holon and Maccabi Haifa When Ronny Levy left Maccabi Haifa, he also wanted to leave the club Partizan Belgrade offered him a job as a Scout and coach assistant, but refused the offer because he wanted to stay in Israel.
On 27 September 2010, Drapić signed in a two years contract as manager of Bnei Sakhnin
In the second half of the 2011-2012 season he worked for Partizan as the assistant coach of Avram Grant.
In June 2013 he became the manager of Beitar Tel Aviv Ramla. Drapić worked as the manager of the club until on 7 June 2015, then he signed a contract as the manager of Beitar Jerusalem.