  We study the full Navier--Stokes--Fourier system governing the motion of a
general viscous, heat-conducting, and compressible fluid subject to stochastic
perturbation. Stochastic effects are implemented through (i) random initial
data, (ii) a forcing term in the momentum equation represented by a
multiplicative white noise, (iii) random heat source in the internal energy
balance. We establish existence of a weak martingale solution under physically
grounded structural assumptions. As a byproduct of our theory we can show that
stationary martingale solutions only exist in certain trivial cases.
