He spent his career at HŠK Concordia Zagreb during the 1930s in the Yugoslav First League.
[3] At age 4, he and his father moved to Croatia where Zvonko eventually established himself at one of the country's top clubs, HŠK Concordia.
Initially trained as an athletic runner, he began to play football for the Yugoslavia national team, making his debut in a March 1934 friendly match against Bulgaria[4] and earning a total of 10 caps.
Upon the foundation of the temporary Croatian team after German invasion of Yugoslavia, Jazbec played for his adopted background heritage in 3 international matches, including the very first match against Switzerland.
This biographical article related to a football goalkeeper from Croatia is a stub.