As a player, Primorac was an accomplished international centre half who captained Yugoslavia in the late 1970s. While playing for Velež Mostar and Hajduk Split, his jersey number was 5.
Now a respected coach, Primorac works as right hand man to Arsenal manager Arsène Wenger. He worked with the Frenchman at Grampus Eight in Japan before joining him at Highbury in March 1997. They have been friends for over 20 years. He has also worked for AS Cannes and Valenciennes.
Primorac is fluent in 9 languages: Croatian, Macedonian, French, English, Japanese, German, Spanish, Portuguese and Italian. Those who have worked with Primorac at Arsenal talk of a charming, highly-intelligent individual whose language skills puts even Arsène Wenger in the shade.
His son Jure Primorac is a professional footballer.
;Honours as player:
* 14 caps for Yugoslavia
* Finished fourth with the national team at the 1980 Summer Olympics
;Honours as coach:
* FA Premier League 1998, 2002, 2004
* FA Cup 1998, 2002, 2003, 2005
* Charity Shields and Community Shields 1998, 1999, 2002, 2004