The present invention relates to a method for producing flexible, stretchable transparent and highly electrically conducting hybrid polymer films comprising electrically conductive electrospun nanofibers embedded in solution cast dielectric polymer films. In one embodiment, the present invention utilizes an electrically conductive nanofiber, or nanofiber structure, that is embedded in a suitable polymer film. In one embodiment, the electrically conductive nanofiber, or nanofiber structure, can be electrospun from a suitable polymer solution that contains a suitable amount of, for example, at least one conductive material. In one embodiment, the flexible polymer film portion of the present invention can be formed from poly(methyl methacrylate) (PMMA) or polyimide. In another embodiment, the present invention relates to flexible polymer films that have conductive structures embedded therein, wherein the flexible polymer film portion is form via a casting process to produce transparent films from, for example, polycarbonate, polyurethane and/or cyclopolyolefin polymer compositions.