We investigate $J/\ensuremath{\psi}$ photoproduction asymmetries in the framework of the NRQCD factorization approach. It is shown that the color octet contribution leads to large uncertainties in the predicted asymmetries which rules out the possibility to precisely measure the gluon polarization in the nucleon through this final state. For small values of the color octet parameters being compatible with $J/\ensuremath{\psi}$ photoproduction data it appears possible that a measurement of $J/\ensuremath{\psi}$ asymmetries could provide a new test for the NRQCD factorization approach, on the one hand, or a measurement of the polarized gluon distribution from low inelasticity events $(z<0.7),$ on the other.