This contribution explores the ability to probe BSM physics by using the experimental prospects for measuring the forward-backward asymmetry ($A_{FB}$) in $e^{+}e^{-}\rightarrow b\bar{b}$ and $e^{+}e^{-}\rightarrow c\bar{c}$ processes at the baseline energy points of ILC: 250 and 500 GeV. The studies are based on the full simulation samples and reconstruction chains from the ILD concept group. The BSM models studied are two different types of gauge-Higgs unification (GHU) models that predict BSM Z$^\prime$ resonances at the TeV scale.