Agroindustry needs novel materials to replace synthetic plastics. This article introduces sodium alginate films with antioxidant properties. The films, which were incorporated with hydroalcoholic extract of Macrocystis pyrifera, were tested on sliced Hass avocados. The research featured sodium alginate films incorporated with hydroalcoholic extracts of M. pyrifera. Uncoated avocado halves served as control, while the experimental samples were covered with polymer film with or without hydroalcoholic extract. A set of experiments made it possible to evaluate the effect of the extracts on polymeric matrices, release kinetics, and sensory profile of halved Hass avocados. A greater concentration of hydroalcoholic extracts increased the content of phenolic compounds and their antioxidant activity. As a result, the bands in the carboxylate groups of sodium alginate became more intense. Crystallinity decreased, whereas opacity and mass loss percentage increased, and conglomerates appeared on the surface of the films. These processes fit the Korsmeyer-Peppas kinetic model because they resulted from a combination of diffusion and swelling mechanisms in the films. The films incorporated with hydroalcoholic extract of M. pyrifera proved to be an effective alternative to traditional fruit wrapping materials.