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Placed in cavity resonators with three-dimensionally confined electromagneticwave, the interaction between quasiparticles in solids can be induced byexchanging virtual cavity photons, which can have a non-local characteristic.Here we investigate the possibility of utilizing this nonlocality to realizethe remote control of the topological transition in mesoscopic moir\'{e}superlattices at full filling (one electron/hole per supercell) embedded in asplit-ring terahertz electromagnetic resonator. We show that gate tuning onemoir\'{e} superlattice can remotely drive a topological band inversion inanother moir\'{e} superlattice not in contact but embedded in the same cavity.Our study of remote on/off switching of a topological transition provides anovel paradigm for the control of material properties via cavity vacuum fields.

Remote gate control of topological transitions in moir\'{e} superlattices via cavity vacuum fields