The release of active compounds is widely studied for both biomedical and cosmetic applications. Special attention is paid to the delivery of antioxidative compounds, which act as antiaging agents and thus protect the skin and help in the wound healing process. This paper presents the results regarding the fabrication of chitosan-based films for the release of quercetin. Chitosan was modified by introducing a small amount of hyaluronic acid, and then quercetin was added. Thin polymeric films were fabricated using the solution casting method. The obtained films were analyzed using FTIR spectroscopy and thermal analysis. Surface properties have been studied using an AFM microscope. The roughness of the films was changed after the addition of hyaluronic acid and quercetin to the chitosan films. HPLC was used to analyze the release of quercetin from the polymer film. The maximum release of quercetin was found after 20 min at pH 5.5, which is the pH of normal human skin. The average percentage of the release of quercetin from the films based on chitosan was 21.62 ± 0.50%, whereas from the chitosan/hyaluronic acid film, it was 27.07 ± 1.96%. The results suggest that the proposed films with incorporated quercetin show potential as materials for wound healing and beauty masks due to their antioxidative properties.