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ηc-nucleus bound state energies are calculated for various nuclei. Essential input for the calculations, namely the medium-modified D and D⁎ meson masses, as well as the density distributions in nuclei, are calculated within the quark-meson coupling (QMC) model. The attractive potentials for the ηc meson in the nuclear medium originate from the in-medium enhanced DD⁎ loops in the ηc self-energy. Our results suggest that the ηc meson should form bound states with all the nuclei considered.