We present a measurement of the direct $CP$-violating charge asymmetry in ${D}_{s}^{+}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$ decays where the $\ensuremath{\phi}$ meson decays to ${K}^{+}{K}^{\ensuremath{-}}$, using the full Run II data set with an integrated luminosity of $10.4\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of proton-antiproton collisions collected using the D0 detector at the Fermilab Tevatron Collider. The normalized difference ${A}_{CP}$ in the yield of ${D}_{s}^{+}$ and ${D}_{s}^{\ensuremath{-}}$ mesons in these decays is measured by fitting the difference between their reconstructed invariant mass distributions. This results in an asymmetry of ${A}_{CP}=[\ensuremath{-}0.38\ifmmode\pm\else\textpm\fi{}0.27]%$, which is the most precise measurement of this quantity to date. The result is consistent with the standard model prediction of zero $CP$ asymmetry in this decay.