We discuss the production of charmed mesons and J/Ψ in p(d)A collisions at high energies. We argue that when the saturation scale Qs characterizing the parton density in a nucleus exceeds the quark mass m, the naive perturbation theory breaks down. Consequently, we calculate the process of heavy quark production in both open and hidden channels in the framework of the parton saturation model (color glass condensate). We demonstrate that at RHIC such a description is in agreement with experimental data on charm production.