Chimeric antigen receptor (CAR) T-cell therapy has transformed the treatment of relapsed and refractory hematologic malignancies but can cause rapidly progressive inflammatory, neurologic, infectious, hematologic, cardiovascular, respiratory, and renal complications with overlapping clinical manifestations. This review aimed to synthesize current evidence on their early diagnosis, monitoring, critical care, and interdisciplinary management. A targeted narrative search was conducted in PubMed, including MEDLINE-indexed records, Google Scholar, and websites of international professional societies; the last search was performed on 30 September 2026. The structured PubMed strategy retrieved 4,178 records. Publications from January 2016 through September 2026 were considered, together with two earlier foundational guidelines on febrile neutropenia and acute kidney injury. Thirty-five sources were included after title/abstract screening and targeted full-text assessment. The review addresses cytokine release syndrome, immune effector cell-associated neurotoxicity syndrome, immune effector cell-associated hemophagocytic lymphohistiocytosis-like syndrome, infection and sepsis, acute organ dysfunction, prolonged cytopenias, and secondary immunodeficiency. Standardized toxicity grading, serial neurologic assessment, and continuous evaluation of hemodynamics, oxygenation, fluid balance, renal function, coagulation, ferritin, fibrinogen, blood cell counts, and microbiological findings are central to early recognition of deterioration. Fever and organ dysfunction require simultaneous evaluation for immune-mediated toxicity and infection because these conditions may coexist and no single biomarker reliably excludes sepsis. Management should combine syndrome-directed anti-inflammatory treatment, prompt empirical antimicrobial therapy when indicated, and timely organ support. Advanced support outside the intensive care unit is an organizational exception rather than an evidence-proven equivalent model and must not delay transfer. Predefined escalation pathways and coordinated multidisciplinary care are essential for safe implementation of CAR T-cell therapy. Keywords: receptors, chimeric antigen, immunotherapy, adoptive, cytokine release syndrome, neurotoxicity syndromes, critical care, sepsis, patient care team.