  A significant excess of J/$\psi$ yield at very low transverse momentum ($p_T
< 0.3$ GeV/c) was observed by the ALICE and STAR collaborations in peripheral
A+A collisions, which points to evidence of coherent photoproduction of
J/$\psi$ in violent hadronic interactions. Theoretically, the photoproduction
of J$/\psi$ in hadronic collisions raises questions about how spectator and
non-spectator nucleons participate in the coherent reaction. For the first
time, we argue that the strong interactions in the overlapping region of
incoming nuclei may disturb the coherent production, leaving room for different
coupling assumptions. Furthermore, first considerations of the destructive
interference between photoproduction on ions moving in opposite directions in
hadronic heavy-ion collisions are included.
  This letter presents calculations of J$/\psi$ production from coherent
photon-nucleus ($\gamma + A \rightarrow \text{J}/\psi + A$) interactions in
hadronic A+A collisions at RHIC and LHC energies with both nucleus and
spectator coupling hypotheses. The coherent J/$\psi$ yield as a function of
centrality and differential distributions as a function of transverse momentum,
azimuthal angle and rapidity in different centrality bins are shown and found
to be significantly different for different coupling scenarios, calling for
future experimental measurements.
