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Care fragmentation is a silent driver of adverse outcomes because it distributes responsibility for a patient’s care across multiple providers, settings, and transitions. It is often recognized only after duplication, missed follow-up, or contradictory management has already occurred. Fragmentation unfolds through networks of providers, referrals, encounters, and unresolved care tasks. Conventional prediction models often treat these events as independent patient-level variables rather than as relational patterns embedded in a care system. This article develops a conceptual graph neural network model for predicting the likelihood of fragmented care episodes. The proposed model uses provider networks, encounter sequences, referral patterns, cross-setting utilization, and unresolved care gap indicators as an integrated graph representation. A heterogeneous graph is constructed with patient and provider nodes, while edges represent encounters, referrals, shared patients, cross-setting transitions, and unresolved care gaps. A graph neural network learns patient embeddings from this relational structure and produces a fragmentation risk score for each patient-period. Conceptually, the model would identify patients at elevated risk of fragmentation, such as those moving across many disconnected providers, receiving repeated referrals, or accumulating open follow-up tasks. These signals could support earlier care coordination before avoidable gaps widen into adverse outcomes. The relational lens of graph neural networks could transform fragmentation prediction from a static risk scoring task into a network-aware early-warning system. Such a model would be expected to help health systems detect fragmented care episodes before they become operationally and clinically consequential.