  We study the fate of an impurity in a two-component, non-interacting Fermi
gas under a non- Hermitian spin-orbit coupling (SOC) which is generated by
dissipative Raman lasers. While SOC mixes the two spin species in the Fermi gas
thus modifies the single-particle dispersions, we consider the case where the
impurity only interacts with one of the spin species. As a result, spectral
properties of the impurity constitute an ideal probe to the dissipative Fermi
gas in the background. In particular, we show that dissipation destabilizes
polarons in favor of molecular formation, consistent with previous few-body
studies. The dissipative nature of the Fermi gas further leads to broadened
peaks in the inverse radio-frequency spectra for both the attractive and
repulsive polaron branches, which could serve as signals for experimental
observation. Our results provides an exemplary scenario where the interplay of
non-Hermiticity and interaction can be probed.
