  We calculate the transport coefficients, drag and momentum diffusion, of a
heavy quark in a thermalized plasma of light quarks in the background of
Polyakov loop. Quark thermal mass and the gluon Debye mass are calculated in a
non-trivial Polyakov loop background. The constituent quark masses and the
Polyakov loop is estimated within a Polyakov loop quark meson (PQM) model. The
relevant scattering amplitudes for heavy quark and light partons in the
background of Polyakov loop has been estimated within the matrix model. We have
also compared the results with the Polyakov loop parameter estimated from
lattice QCD simulations. We have studied the temperature and momentum
dependence of heavy quark drag and diffusion coefficients. It is observed that
the temperature dependence of the drag coefficient is quite weak which may play
a key role to understand heavy quark observables at RHIC and LHC energies.
