Summary: Harmonic analysis on symmetric spaces studies invariant differential operators and their joint eigenspaces in connection with Lie groups. The discovery of quantum groups in the 1980’s inspired the growing subject of harmonic analysis on quantum symmetric spaces. We prove a quantum analog of Harish-Chandra’s fundamental results: the Harish-Chandra map induces an isomorphism between the ring of invariant differential operators on a symmetric space and invariants of an appropriate polynomial ring under the restricted Weyl group. We further establish a quantum version of a related theorem due to Helgason.