The rapid integration of Artificial Intelligence (AI) in healthcare has revolutionized diagnosis, treatment, and administrative efficiency. However, the increasing computational demands of AI systems raise concerns about their environmental impact, particularly in terms of energy consumption and carbon emissions. This review paper explores the concept of Green AI and its relevance in promoting sustainable digital transformation in healthcare systems. By synthesizing existing literature, the study examines key drivers, applications, challenges, and frameworks for adopting energy-efficient and environmentally responsible AI solutions. The paper proposes a conceptual framework integrating technological, organizational, and environmental dimensions to guide sustainable AI adoption in healthcare. The findings highlight that Green AI can significantly enhance healthcare efficiency while minimizing environmental footprints, provided that policy support, ethical considerations, and infrastructure readiness are ensured.