Introduction: healthcare organizations require the use of management models as theoretical tools to achieve corporate efficiency and minimize risks in achieving objectives. These models are fundamental for the implementation of care management, so that both are aligned in mission, values, structure, strategies and processes. The objective of this article is to describe 21st century administration and management models that are applicable in care management at the macro, meso and micromanagement levels.Method: narrative review. Data source: WOS, Scopus and Scielo using the keywords: “theory”, “model”, “management”, “administration” with the booleans “AND” and “OR”.; publications between 2000-2024 and in English and Spanish. The selection of documents was based on complete reading. Three experts on the subject validated the models and these were presented for discussion to a team of health managers.Results: the models of: 7 "S" of McKinsey, Birkinshaw & Goddard, trends in people management according to Deloitte, Werther & Davis, Beer Management Model and the Corporate Social Responsibility Management Model are presented, providing the focus of applicability to the health system from macro management, then in meso management and finally operationalizing them in micromanagement.Conclusions: the various theories and models of administration or management of the 21st century have the potential to be a fundamental pillar in the implementation of care management by integrating it as an organic element in a health institution at the macro, meso and micromanagement levels