Prior to his coaching career, Skočić started his playing career with the local club NK Rijeka, and then abroad when he signed for UD Las Palmas in Spain.
Skočić, a midfielder, played professional club football in Croatia for Rijeka and NK Novalja, in Spain for Las Palmas and Compostela, and in the UAE for Al-Ittihad Kalba. He was the first player from the Croatian football league who went abroad to play professionally.
After his playing career, Skočić went on to complete the Football Academy at the Croatian Football Academy and the Coach Education and Training Department at the Faculty of Kinesiology, University of Zagreb, receiving a UEFA-PRO Coach diploma and a Professional Bachelor of the Coaching Profession.
In 2007, he became the head coach of the Slovenian club Interblock Ljubljana. While the club was in a difficult situation on the league scale. Only two years after the club was founded and under the management of Skočić, the club achieved outstanding results in the Slovenian PrvaLiga. Not only did they manage to stay in the first league, but they also won two trophies in the 2007–08 season, the Slovenian Cup and a Super Cup.