A refrigerator includes a vacuum insulated cabinet structure having an exterior wrapper with a plurality of exterior walls exposed to ambient conditions. One of the exterior walls includes an outer surface and an inset portion that is inwardly disposed relative to the outer surface of the exterior wall. A skin condenser system is disposed within the inset portion along an outer surface of the inset portion. The skin condenser system includes a coil array defined by a coil disposed in a coil pattern. The skin condenser system further includes a cover assembly covering the coil array and in thermal communication with the coil array to facilitate the dissipation of heat to the ambient surroundings.