A method for producing flexible, stretchable transparent and highly electrically conducting hybrid polymer films includes embedding electrically conductive electrospun nanofibers in solution cast dielectric polymer films. 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. The polymer film portion can be formed from poly(methyl methacrylate) (PMMA) or polyimide. The flexible polymer film portion can be a transparent film, made from, for example, polycarbonate, polyurethane and/or cyclopolyolefin polymer compositions.