We study the momentum and temperature dependence of the charm quark transport coefficients, i.e., drag and momentum diffusion for collisional and radiative processes in a viscous QCD medium. The thermal medium interactions are included through the effective fugacity quasi-particle model, which modifies the distribution function of the QGP particles by the introduction of temperature-dependent effective fugacity parameter. Shear viscous corrections to the charm quark transport coefficients are incorporated at leading order through the near-equilibrium distribution function by solving the effective Boltzmann equation within relaxation time approximation. Preliminary results for bulk viscous corrections are also presented within the same framework.