2008-09: Kozun erupted for 40 goals and 108 points in 72 games in his second full season with Calgary of the WHL, good for second overall in scoring. Was named WHL Player of the Month for the month of December where he would record 19 points in 12 games. A model of consistency, Kozun would score more than three points in a game only three times all season despite racking up 108 points.
2009-10: Kozun capped a prolific junior year thus far by posting 32 goals and 75 assists in only 65 regular season games. He also managed 8 goals and 22 assists in 23 playoff matches. He also posted 3 goals and 4 assists for Canada in the U20 tournament. When he was finished with his season, Kozun was inked to an entry-level deal.
2010-11: Kozun skated in 73 of 80 games for the AHL's Manchester Monarchs in his first pro season and was tied for third on the team with 23 goals. He added 25 assists and was +4 with 48 PMs as the Monarch's finished second in the Atlantic Division. In the Monarchs' seven-game, first-round playoff series with eventual Calder Cup champion Binghamton he scored 1 goal with 3 assists and was +2 with 2 PMs.
2011-12: Kozun was the second-leading scorer for Kings AHL affiliate Manchester in his second pro season. He scored 20 goals with 26 assists and was minus-three with 58 penalty minutes in 74 games for the Monarchs. Manchester finished second in the Atlantic Division and lost to Norfolk three games to one in a first round playoff series. Kozun scored 1 goal with 1 assist and was plus-two with 2 penalty minutes in three playoff games; missing game three due to an unspecified injury.
Small and elusive with great skating skills. Kozun's competitiveness and offensive skills keep him on the ice despite large and more physical competition.