  The potential for probing extra neutral gauge boson mediators ($Z^\prime$)
from low-energy measurements is comprehensively explored. Our study mainly
focuses on $Z^\prime$ mediators present in string-inspired $E_6$ models and
left-right symmetry. We estimate the sensitivities of coherent-elastic
neutrino-nucleus scattering (CE$\nu$NS) and neutrino-electron scattering
experiments. Our results indicate that such low-energy high-intensity
measurements can provide a valuable probe, complementary to high-energy
collider searches and electroweak precision measurements.
