  We explore the potential to prove light extra gauge $Z^\prime$ boson inducing
non-standard neutrino interactions (NSIs) in the coherent-elastic
neutrino-nucleus scattering (CE$ \nu $NS) experiments. We intend to examine how
the latest COHERENT-CsI and CENNS-10 data can constrain this model. A detailed
investigation for the upcoming Ge, LAr-1t, and NaI detectors of COHERENT
collaboration has also been made. Depending on numerous other constraints
coming from oscillation experiments, muon $ (g-2) $, beam-dump experiments,
LHCb, and reactor experiment CONUS, we explore the parameter space in
$Z^\prime$ boson mass vs coupling constant plane. Moreover, we study the
predictions of two-zero textures that are allowed in the concerned model in
light of the latest global-fit data.
