A fitting system for securing a panel to a wall frame having a first member removably secured to a second member. The first receiving member includes an outer flange with a center aperture and a ring-like member extending backwards from a bottom surface of the flange to define a receiving passageway. The flange has a plurality of apertures for securing the first member to the wall frame with the ring-like member disposed within a recess in the wall frame. The second insertion member includes an outer flange and a male insertion portion. The outer flange is used to secure the second member to the panel. The male member is adjustable making its insertion within the receiving passageway easier. Attachment clips of the second member mate with an inner ledge of the receiving passageway to lock the two members together and thus secure the panel to the wall frame.