He began his playing career with HŠK Građanski Zagreb's youth side before moving to ŠK Slavija Varaždin. In 1938 he returned to Građanski and in the following season won the Kingdom of Yugoslavia's last national championship. He played with Građanski in the Independent State of Croatia's First League until the state's demise and the club's disbanding at the end of the Second World War by Yugoslavian communists. He had become Croatian national champion with the club during the 1943 season. Afterwards, he played for NK Lokomotiva and Građanski's replacement regime-club NK Dinamo Zagreb.

Cimermančić has the distinction of having played for two different FIFA-recognized national teams, three different nations, and four national teams in all. In 1940, Cimermančić debuted for the Kingdom of Yugoslavia's national team (Beli Orlovi) and concurrently played four matches for the Banovina of Croatia's national team, which represented the Croatian statelet within the kingdom. With the establishment of the Independent State of Croatia and its respective national team, he suited up thirteen times and scored six goals for the country. After the war, he also played for communist Yugoslavia's national team.

After his playing career, Cimermančić worked as a dentist. He died in Zagreb in 1979 and is buried in Mirogoj Cemetery.