Inpatient flow management represents a critical operational challenge in modern healthcare systems, where inefficiencies in bed allocation, patient throughput, and resource orchestration can lead to overcrowded wards, delayed discharges, and suboptimal care delivery. This conceptual manuscript proposes an original operational analytics scaffold to seamlessly integrate artificial intelligence (AI) into inpatient flow processes, enabling enhanced decision-making without relying on empirical data or performance evaluations. Drawing from theoretical architectures in clinical AI systems, healthcare analytics infrastructures, and decision support pipelines, the scaffold emphasizes modular interoperability, governance mechanisms, and workflow orchestration to address systemic bottlenecks. The framework, termed the Inpatient Flow Orchestration Scaffold (IFOS), comprises layered components for data harmonization, predictive analytics embedding, and adaptive feedback topologies, ensuring alignment with electronic health record (EHR) ecosystems and regulatory frameworks. Conceptual formulas interpret risk propagation through integration layers and governance loads on monitoring systems, highlighting theoretical trade-offs in latency and resource allocation. By synthesizing peer-reviewed literature from 2017 to 2025, this work elucidates the infrastructural prerequisites for AI-driven flow management, including interoperability standards and human-AI interaction dynamics. Ultimately, the scaffold offers a theoretical blueprint for hospitals to conceptualize AI integration, promoting operational resilience and clinical efficiency in inpatient settings without prescriptive implementations. This contribution advances conceptual discourse in AI-integrated healthcare systems, underscoring the need for scaffolded analytics to navigate complex inpatient environments.