The pseudoscalar quarkonium state ${\ensuremath{\eta}}_{4}{(}^{1}{S}_{0}),$ formed by the standard model fourth generation quarks, is the best candidate among the fourth generation quarkonia to be produced at the CERN Large Hadron Collider and Very Large Hadron Collider. The production of this ${J}^{\mathrm{PC}}{=0}^{\ensuremath{-}+}$ resonance is discussed and the background processes are studied to obtain the integrated luminosity limits for the discovery, depending on its mass.