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Quarkonium production in proton-nucleus collisions is a powerful tool todisentangle cold nuclear matter effects. A model based on coherent energy lossis able to explain the available quarkonium suppression data in a broad rangeof rapidities, from fixed-target to collider energies, suggesting cold energyloss to be the dominant effect in quarkonium suppression in p-A collisions.This could be further tested in a high-energy fixed-target experiment using aproton or nucleus beam. The nuclear modification factors of J/$\psi$ and$\Upsilon$ as a function of rapidity are computed in p-A collisions at$\sqrt{s}=114.6$ GeV, and in p-Pb and Pb-Pb collisions at $\sqrt{s}=72$ GeV.These center-of-mass energies correspond to the collision on fixed-targetnuclei of 7 TeV protons and 2.76 TeV lead nuclei available at the LHC.

Quarkonium suppression from coherent energy loss in fixed-target experiments using LHC beams