A method of cleaning airfoils and related turbine engine components that have a crust-like debris deposited on the surface thereof. This method involves subjecting at least the portion of the component having the deposit of the crust-like debris to sufficient laser shock peening to cause the debris on the surface thereof to be loosened therefrom so that the loosened debris can be removed from the component. This loosened debris can then be removed from the component, such as by passing a cleaning fluid through the portion of the component that is subjected to the laser shock peening.