During his playing days, he made 209 appearances for Dukla Banská Bystrica between 1979 and 1988 before moving on to German club FC St. Pauli, where he made another 147 appearances up to 1993.
He was appointed the new head coach of the Slovakia national team on 2 November 2006, replacing Dušan Galis. Previously, he had worked as an assistant to former national coach Dr. Jozef Vengloš between 1993 and 1995. He was last seven months Assistant Coach from Karel Brückner by Austria between 4 March 2009.
In the 2013–14 season, Kocian managed Ruch Chorzow to third position in the Ekstraklasa table and qualified almost in the last qualifying round for Europe League Group stage. He earned by the Ekstraklasa Coach of the Year at the end of season. On 18 April 2019, Kocian returned to Poland and to his former club Ruch Chorzów as an advisor.
On 25 October 2018, Kocian was announced as manager of the Yemen national team.[3][4] After the 2019 AFC Asian Cup, he left the national team. In spring of 2022, he returned to his native Zlaté Moravce to manage local Fortuna Liga club FC ViOn and aid in avoiding relegation in 2021–22 season. In early October, Kocian came to terms of release with ViOn Zlaté Moravce for medical reasons.[5]
Football affiliated activities
Since mid-2010s, Kocian began to feature more prominentnly as an expert analyst in the media, including national broadcaster RTVS for national team matches or major tournaments, such as UEFA Euro 2020 or 2022 FIFA World Cup.[6][7] He also writes as a columnist contributor to leading Slovak sports daily newspaper Denník Šport.[8]