“Placenta accreta spectrum” (PAS) describes abnormal placental adherence to the uterine wall without spontaneous separation at delivery. Though relatively rare, PAS presents a particular challenge to anesthesiologists, as it is associated with massive peripartum hemorrhage and high maternal morbidity and mortality. Standardized evidence-based PAS management strategies are currently evolving and emphasize: “PAS centers of excellence”, multidisciplinary teams, novel diagnostics/pharmaceuticals (especially regarding hemostasis, hemostatic agents, point-of-care diagnostics), and novel operative/interventional approaches (expectant management, balloon occlusion, embolization). Though available data are heterogeneous, these developments affect anesthetic management and must be considered in planed anesthetic approaches. This two-part review provides a critical overview of the current evidence and offers structured evidence-based recommendations to help anesthesiologists improve outcomes for women with PAS. This first part discusses PAS management in centers of excellence, multidisciplinary care team, anesthetic approach and monitoring, surgical approaches, patient safety checklists, temperature management, interventional radiology, postoperative care and pain therapy. The diagnosis and treatment of hemostatic disturbances and preoperative prepartum anemia, blood loss, transfusion management and postpartum venous thromboembolism will be addressed in the second part of this series.