The invention relates to an electronic appliance (1), provided with a cooling assembly (10) for cooling a module (4) that during use can be inserted in the appliance (1) by a consumer. The cooling assembly (10) comprises a cooling body (12) and sliding means (8A, 8B). The sliding means are arranged to engage the module with a low frictional contact surface, so as to facilitate insertion of the module. The sliding means are furthermore arranged to form a thermally conductive bridge between the module and the cooling body. At least one of the cooling body and the sliding means is resiliently deflectable, thereby allowing the sliding means to be pushed out of the way by the module, when this module is being inserted or removed.