Rančić was born in Split and began his professional career in 2000 with Solin.

In 2010, he joined Obradoiro CAB, before returning once again to Panellinios,[1] but left the team soon after for personal reasons.

After retiring as player due to chronicle back problems, in October 2018 he took up coaching Ribola Kaštela, a club he formerly played for.

He played at the EuroBasket 2005 and he won the gold medal at the 2009 Mediterranean Games, where he was also voted the tournament's MVP.

This biographical article relating to a Croatian basketball figure is a stub.