Chronic wounds pose a significant healthcare challenge worldwide, often leading to prolonged suffering, impaired quality of life, and substantial economic burden. Traditional wound care approaches frequently fall short in effectively managing wounds, necessitating the development of innovative solutions. Biodegradable polymer-based therapies have emerged as promising candidates for addressing the complexities of chronic wound management. This review paper provides a comprehensive overview of recent advances and innovations in smart solutions for stubborn wounds using biodegradable polymer innovations. The review begins by discussing the unique properties of biodegradable polymers that make them well-suited for wound healing applications. Furthermore, the review highlights key challenges in chronic wound management and the limitations of current treatment modalities. Biodegradable polymer-based therapies offer innovative solutions to overcome these challenges, providing tailored approaches for promoting wound closure, tissue regeneration, and infection control. Case studies and clinical trials evaluating the efficacy of biodegradable polymer-based therapies in chronic wound healing are reviewed, demonstrating their potential in real-world clinical settings. Additionally, future directions and challenges in biodegradable polymer research for chronic wound management are discussed, outlining opportunities for further innovation and translation of these technologies into clinical practice. Thus, this review paper underscores the significant strides made in harnessing biodegradable polymer innovations for smart solutions in chronic wound management. By integrating advanced materials science with clinical insights, biodegradable polymer-based therapies offer a promising avenue for improving outcomes and quality of life for patients with stubborn wounds.