The formation of international economic integration is significantly affected by modern global changes caused by the COVID-19 pandemic and various changes in the structure of world markets of goods and services, which requires the developing of new strategies, models and technologies for managing of economic systems. Ensuring the effective managing of economic systems in the conditions of modern global challenges is impossible without changing the methodology and the formation of a new concept for managing the activity of economic entities. To ensure effective managing of economic systems in the context of international economic integration it is necessary to provide resources, introduce modern technologies and innovations in the economic process, formulate a strategy for the activities of economic entities in connection with changes in the external environment, and search of internal reserves for optimizing economic activities aimed at reducing operating costs and to developing directions for the development of economic systems in order to ensure competitiveness.