We investigate the anomalous interactions of heavy up-type quark $t^{\prime }$ in a $\gamma \gamma$ collision at the LHC. We have obtained 95% confidence level (CL) limit of $t^{\prime }$$q\gamma$ ($q=u,c$) anomalous coupling by taking into account three forward detector acceptances: $0.0015<\xi <0.15$, $0.0015<\xi <0.5$, and $0.1<\xi <0.5$.