A cover for an electronic package is manufactured by placing an optical insert, having opposite faces and configured to allow light radiation to pass therethrough, between two opposite faces of a cavity of a mold in a position such that said optical faces of the optical insert make contact with said opposite faces of the cavity of the mold. A coating material is injected into the cavity and around the optical insert. The coating material is set to obtain a substrate that is overmolded around the optical insert so as to produce the cover. An electronic package includes an electronic chip mounted to a support substrate with the cover formed by the overmolded substrate mounted to the support substrate.