There is increasing interest in understanding how artificial intelligence (AI) transforms business and society, particularly within management and organizational studies. Yet, the scope of AI and responsible management still needs to be explored, including its effects on organizations, the natural environment, and social issues in management. AI and sustainability literature is still at the technical level and primarily answers operational problems (e.g., how AI can monitor deforestation). Therefore, more research is needed on organizational and societal challenges, such as whether AI can favor virtuous cycles and well-being. Its methodology is based on an integrative review of AI and sustainability, supported by Scopus, and secondary data from firms’ and the United Nations’ public reports. This research builds on systems theory and paradox to introduce a conceptual framework linking AI technology, AI manufacturers, AI users, voluntary ethical standards, and societal targets defined by the United Nations Sustainable Development Goals (SDGs). It proposes an AI-responsible management model by establishing these relationships and evaluating their sustainable impact at the organizational and systemic levels. The future of organizations, the natural environment, and social management issues in the AI age remain uncertain. It is contingent upon numerous decisions related to technological and policy analysis. This research uncovers negative and positive pathways for the nexus of AI, the economy, society, and the planet. It raises important research questions concerning the boundaries of AI in responsible decisions, how AI supports organizations in addressing SDGs and well-being, and how AI can help tackle tensions among sustainability goals.