The decay-time-dependent \ensuremath{C\!P} asymmetry in B0→D∗±D∓ decays is measured using a data set corresponding to an integrated luminosity of 9\ensuremath{\fb^{-1}} recorded by the \lhcb detector in proton-proton collisions at centre-of-mass energies of 7, 8 and 13\aunit{Te\kern -0.1em V}. The analysis provides the most precise single measurement of \ensuremath{C\!P} violation in this decay channel to date. All parameters are consistent with their current world average values