Z'tc coupling from D0-D0 mixing

We bound the $Z^{\mathrm{\prime }}tc$ coupling using the $D^0-\overline{D^0}$ meson mixing system. We obtained such coupling which is less than $5.75\times 10^{-2}$\mathrm{.}Wehavestudiedthe$Z^\prime$ boson resonance considering single top production in the $e^{+}{e}^{-}\to Z^{\mathrm{\prime }}\to tc$ process. We obtained the number of events which is expected to be less than ${10}^7$ at the International Linear Collider scenario. We get a branching ratio of the order of ${10}^{-2}$ for the $Z^{\mathrm{\prime }}\to tc$ decay.