Smart healthcare is revolutionized with the integration of artificial intelligence, the metaverse, and cutting-edge computing paradigms such as fog, edge, and cloud computing. These technologies provide the ability for seamless AI-powered integration in the metaverse to offer innovative, patient-centric solutions. Across traditional barriers like latency, scalability, and real-time processing, these technologies will enhance diagnosis, treatment, and patient engagement. AI is key to developing personal and predictive solutions, and the core idea of fog computing is that it supports local processing in real-time monitoring and rapid decisions for smart hospital environments. It brings the intelligence of the edge computing closer to wearable devices and IoT-enabled sensors. Continuous glucose monitoring, real-time ECG analysis, and similar applications require low-latency processing. Cloud computing will expand its storage and powerful computation resources for big AI model training, genomic analysis, and immersion metaverse across healthcare platforms into the future of AI capabilities through quantum computing, blockchain through decentralized healthcare ecosystems, and the fully integrated smart healthcare metaverse.