  We analyze the Markov property of solutions to the compressible
Navier--Stokes system perturbed by a general multiplicative stochastic forcing.
We show the existence of an almost sure Markov selection to the associated
martingale problem. Our proof is based on the abstract framework introduced in
[F. Flandoli, M. Romito: Markov selections for the 3D stochastic Navier--Stokes
equations. Probab. Theory Relat. Fields 140, 407--458. (2008)]. A major
difficulty arises from the fact, different from the incompressible case, that
the velocity field is not continuous in time. In addition, it cannot be
recovered from the variables whose time evolution is described by the
Navier--Stokes system, namely, the density and the momentum. We overcome this
issue by introducing an auxiliary variable into the Markov selection procedure.
