We reexamine the ubiquitous $U(1)$ extension of the Standard Model (SM), with a new neutral gauge boson ($Z'$), in a truly model-independent approach. No new fermions, except for three right-handed neutrinos, are added. We use the current LHC Drell-Yan data to put model-independent constraints on the $Z'$ parameter space, defined by $M_{Z'}$, the $Z$-$Z'$ mixing angle ($\alpha_z$) and the extra $U(1)$ effective gauge coupling ($g'_x$), which absorb all model dependence. Additional constraints are imposed from unitarity and $\nu_\mu$-$e$ scattering. However, limits extracted from direct searches turn out to be the most stringent.