A process for selectively stripping a coating from a component of a turbomachine, and particularly a coating having a ceramic matrix that contains metallic particles dispersed therein that render the coating more difficult to remove from the component after the component has been subjected to elevated temperatures during operation of the turbomachine. The process generally includes immersing the component in an aqueous solution containing ferric chloride, nitric acid, and phosphoric acid, for a duration sufficient to attack the metallic particles in the coating. The component is then removed from the aqueous solution and its surface rinsed of the aqueous solution. The immersing and removing steps are then sequentially repeated a sufficient number of times to sufficiently attack the metallic particles to enable the coating to be mechanically removed from the component.