Building on earlier reports of superconductivity in bulk PtSb, we present a systematic study of superconductivity in epitaxial PtSb(0001) thin films grown on SrF₂(111). Electrical transport measurements reveal a superconducting transition at T_c=1.72K. The field-induced broadening of the transition and the temperature dependence of the upper critical fields are consistent with type-II superconductivity. We determine the upper critical fields for magnetic fields applied perpendicular and parallel to the film plane and parametrize their temperature dependence using an anisotropic Ginzburg-Landau approach. For a representative film in the intermediate thickness regime (d=50nm), we obtain coherence lengths of ξ_ab≈56nm and ξ_c≈14nm. Current-voltage characteristics show sizable critical currents, with a critical current density reaching J_c≈6×104A/cm² at 0.5K. These results establish the superconducting properties of epitaxial PtSb thin films and provide a basis for lattice-matched heterostructures within the NiAs-type materials family.