  We consider a non-Hermitian yet $\mathcal{PT}$-symmetric Fermi liquid
($\mathcal{PT}$-FL) in external electric fields. Due to
$\mathcal{PT}$-symmetry, the system exhibits real spectrum, Fermi surface and
electric conductivity are well-defined through propagators. We find that, in
contrast to the conventional Fermi liquids (FL), the $\mathcal{PT}$-FL can
exhibit a zero resistance state in the longitudinal ($xx$) channel. Moreover,
the temperature dependence of the resistivity anomaly violates the conventional
FL scaling (it is not limited by $T^2$). These findings open route to further
exploration of transport anomalies beyond the conventional paradigm.
