  A theoretical framework is developed for scattering of scalar radiation from
stationary, three-dimensional media with correlation functions of scattering
potentials obeying $\mathcal{PT}$-symmetry. It is illustrated that unlike in
scattering from deterministic $\mathcal{PT}$-symmetric media, its stationary
generalization involves two mechanisms leading to symmetry breaking in the
statistics of scattered radiation, one stemming from the complex-valued medium
realizations and the other - from the complex-valued degree of medium's
correlation.
