  In this paper we present a comprehensive analysis of the exclusive heavy
quark photoproduction in $pp$, $pPb$ and $PbPb$ collisions at LHC and FCC
energies using the color dipole formalism and taking into account of nonlinear
corrections to the QCD dynamics. We estimate the rapidity distributions and
cross sections for the charm and bottom production considering three
phenomenological models for the dipole-proton scattering amplitude that are
able to describe the $ep$ HERA data. Our results indicate that a future
experimental analysis of this process is feasible, which will allow us to
improve our understanding of the QCD dynamics.
