The use of nanofiber patches has received considerable attention as a promising solution for overcoming challenges in drug delivery. In this study, silver nanoparticles (Ag NPs) were incorporated in chitosan (CS), hyaluronic acid (HYA), and polyvinyl alcohol (PVA) to form nanofibers (namely, the CS/HYA/PVA-Ag nanofiber) for the controllable release of curcumin (CUR). The CUR release from the CS/HYA/PVA-Ag nanofibers consistently happened sustainably. Therefore, the prepared CS/HYA/PVA-Ag nanofibers show great promise in terms of their ability to expand the field of pH-dependent transdermal drug delivery (TDD) and sustainably release drugs. Additionally, the scratch assay results of these nanofibers further support their potential applications in wound healing.