Due to the increasing demand for polymers, selecting an appropriate catalytic system is essential to achieve desirable properties in the resulting polymers, which encouraged us to compile this review. The review deals with various strategies for synthesising organometallic complexes of zirconium involving bonding through carbon and their catalytic applications in homo- and heterogeneous polymerization of olefins and lactides, spanning 2011 to 2019. We classified these complexes into three categories, i.e. ansa-type zirconocenes. Non-bridged zirconocenes and pentalene complexes. These zirconium complexes have been synthesized under an inert atmosphere by treating zirconium precursors with suitable ligands at a particular temperature, choosing appropriate solvents.