Medicinal and aromatic plants, such as wild garlic (Allium ursinum), are valuable sources of bioactive compounds in traditional and modern medicine. However, the challenges in cultivating wild garlic and its seasonality limit its availability primarily to early spring. To maintain the quality of wild garlic, effective postharvest practices are essential, considering the delicate nature of its leaves and their susceptibility to rapid decay. This study focuses on implementing eco-friendly postharvest practices to address the seasonality and perishability of wild garlic. Optimizing storage conditions and drying processes is essential for extending its shelf life and preserving bioactive components. Two postharvest approaches were evaluated, with vacuum packaging at 4 °C demonstrating the most effective preservation of sensory attributes and bioactive composition over a 9-day period. Additionally, different drying methods, including convective and vacuum drying at various temperatures, were investigated. When the best drying temperature was selected, the results revealed that convective drying is more efficient at preserving phenolic compounds in wild garlic leaves at 60 °C. Conversely, vacuum drying shows superior preservation of alliinase activity and total thiosulfinate content at 70 °C. Furthermore, this study explores the utilization of unused wild garlic, which is typically discarded as waste during storage. By employing suitable drying methods, this material can be preserved and provide a valuable source of phenolic compounds (7.17–10.12 g GAE/100 g) and thiosulfinate (9.35–12.72 mg AC/110 g) compounds for various extraction processes. Accordingly, this research presents significant implications for the integration of wild garlic into diverse industries, particularly in the fields of food and pharmaceutical sectors. The findings offer opportunities for sustainable utilization, economic benefits, and a more environmentally friendly and economically viable approach to wild garlic production and processing.