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In gauge-Higgs unification (GHU), the 4D Higgs boson appears as a part of thefifth dimensional component of 5D gauge field. Recently, an $SO(11)$ GUTinspired $SO(5)\times U(1)\times SU(3)$ GHU model has been proposed. In theGHU, Kaluza-Klein (KK) excited states of neutral vector bosons, photon, $Z$boson and $Z_R$ boson, appear as neutral massive vector bosons $Z'$s. The $Z'$bosons in the GHU couple to quarks and leptons with large parity violation,which leads to distinctive polarization dependence in, e.g., cross sections andforward-backward asymmetries in $e^-e^+\to\mu^-\mu^+,q\bar{q}$ processes. Inthe talk, we discuss fermion pair production in $e^-e^+$ linear colliderexperiments with polarized $e^-$ and $e^+$ beams in the GUT inspired GHU.Deviations from the SM are shown in the early stage of planned internationallinear collider (ILC) with 250 GeV experiments. The deviations can be testedfor the KK mass scale up to about 15 TeV. This talk is mainly based onPhys.Rev.D102(2020)015029.

Linear Collider Signals of $Z'$ Bosons in GUT Inspired Gauge-Higgs Unification