  The effects of new neutral $Z^\prime$ boson in
$B_{s}\to\phi\ell^{+}\ell^{-}$, when $\phi$ is longitudinal or transverse
polarized, are studied. In addition, the implications of $Z^{\prime}$ boson on
the unpolarized and polarized $CP$ violation asymmetries, with reference to
lepton, are also presented. It is observed that the branching ratio with
polarized $\phi$ are quite sensitive to the $Z^{\prime}$ contributions which
are coming through the modification of Wilson coefficients $C^{eff}_{9}$ and
$C_{10}$. Moreover, the off-diagonal elements of the chiral $Z^{\prime}$
couplings contain new weak phase $\phi_{sb}$ that provide a new source of $CP$
violation. Keeping in view that in the FCNC transitions the $CP$ violation
asymmetries are highly suppressed in the SM, we have studied the unpolarized
and polarized $CP$ violation asymmetries in $B_{s}\to\phi\ell^{+}\ell^{-}$
decays. Our results indicate that these $CP$ violation asymmetries are
remarkably significant and can attribute the any new physics coming through the
$Z^{\prime}$ boson. It is hoped that the accurate measurements of these
asymmetries will not only help us to establish NP but will also give a chance
to determine the precise values of the coupling parameters of the $Z^{\prime}$
boson.
