A model-independent study of CP violation in B0→DK∗0 decays is presented using data corresponding to an integrated luminosity of 9\,fb-1 collected by the LHCb experiment at centre-of-mass energies of s=7,8 and 13\,TeV. The CKM angle γ is determined by examining the distributions of signal decays in phase-space bins of the self-conjugate D→KS0h+h- decays, where h=π,K. Observables related to CP violation are measured and the angle γ is determined to be γ=(49-19+22)∘. Measurements of the amplitude ratio and strong-phase difference between the favoured and suppressed B0 decays are also presented.