  Within the leading logarithmic approximation of perturbative QCD and the
leading twist approach to nuclear shadowing, we compare the cross sections of
photoproduction of $J/\psi$ and $\psi(2S)$ mesons on nuclei in Pb-Pb UPCs in
the LHC kinematics. We find that the nuclear suppression of these cross
sections due to the nuclear gluon shadowing is large and rather similar in the
$J/\psi$ and $\psi(2S)$ cases.
