Cooling apparatus and methods are provided for facilitating cooling of electronic components of an electronic system. The cooling apparatus includes a housing at least partially surrounding and forming a compartment about the components, and an immersion-cooling fluid is disposed within the compartment. At least one component of the electronic system is at least partially non-immersed within the fluid in the compartment. A wicking film element is physically coupled to a main surface of the at least one component and partially disposed within the fluid within the compartment. A coupling element physically couples the wicking film element to the main surface of the at least one component without the coupling element overlying the main surface of the component(s). As an enhancement, the wicking film element wraps over the component to physically couple to two opposite main sides of the component.