General expressions for one-loop contributions associated with lepton-flavor violating decays of the stan dard model-like Higgs boson h → e_b^{±} e_a^{∓} and gauge boson Z →e_b^{±} e_a^{∓} are introduced in the unitary gauge. The results are used to discuss these decays as new physics signals in a minimal left-right symmetric model containing only one bidoublet Higgs and a SU(2)_R Higgs doublet accommodat ing data of neutrino oscillations and (g−2)_μ. The numerical investigation indicates that some of these decay rates can reach near future experimental sensitivities.