Rare B meson decays offer an opportunity to probe a light hidden Z boson. In this work we explore a new channel B q → γZ (q = d, s) followed by a cascade decay of Z into an invisible (neutrino or dark matter) or charged lepton pair + − ( = e, µ). The study is based on a simplified effective model where the down quark sector has tiny flavor-changing neutral current couplings with Z . For the first time, we calculate BR(B q → γZ ) at the leading power of 1/m b and 1/E γ . Confronting with the strong constraints from semi-invisible decays of B meson, we find that the branching ratio for B d → invisible + γ can be larger than its Standard Model prediction, leaving a large room for new physics, in particular for light dark matter. Additionally, the branching ratio for B d → e + e − γ can also be sizable when the corresponding flavor violating Z coupling to quarks is of the axial-vector type. On the other hand, the predicted branching ratios of B d → µ + µ − γ and B s → + − γ are severely constrained by the experimental measurements.