Nowadays, the economic management of enterprises follows the basic principle of people-oriented, and pays attention to enhancing the trust and recognition of talents in enterprises, so that they can actively participate in various economic and business activities while practicing and developing to obtain a sense of belonging, and work together for the reform, innovation and development of enterprises. Especially after entering the era of big data, in the face of an increasingly competitive market environment, enterprise economic management proposes to use new management concepts to make up for the shortcomings of traditional management models, among which flexible management has a positive impact on enterprise organization, talent training, production and operation and other aspects. Therefore, after understanding the basic concepts and application characteristics of flexible management, this paper discusses how to effectively apply flexible management methods in enterprise economic management to promote the high-quality development of enterprises