The chiral topological superconductor in two dimensions has a full pairing gap in the bulk and a single chiral Majorana state at the edge. The vortex of the chiral superconducting state carries a Majorana zero mode which is responsible for the non-Abelian statistics of the vortices. Despite intensive searches, this superconducting state has not yet been identified in nature. In this paper, we consider a quantum Hall or a quantum anomalous Hall state near the plateau transition and in proximity to a fully gapped $s$-wave superconductor. We show that this hybrid system may realize the chiral topological superconductor state and propose several experimental methods for its observation.