Background: The main goal of a health system is to maintain or improve people's health. The COVID-19 pandemic showed the fragility of health systems worldwide. In Mexico, the pandemic affected the performance of the health system, along with the presence of contextual conditions such as its segmentation and high prevalence of chronic diseases. Aims: To analyze from an approach to the functions of the health system, the service delivery, human resources, financing, and stewardship/governance in the local health services of five states of Mexico, from the perspective of the staff working in health centers. Methods: This is an exploratory qualitative study conducted from November 2020 to August 2021, involving 124 health professionals from 39 health facilities (18 rural and 21 urban). The technique used was the semi-structured interview. Interview guides were developed according to core topics. Subsequently, the thematic analysis method was used. Results: The lack of financial resources delayed prevention efforts and made it difficult for health centers to adapt to the crisis. Inequity was found in the distributive efficiency of staff between rural and urban areas and levels of care. In addition, there was evidence of capacity for coordination, capacity sharing, and joint participation between health institutions, civil authorities, and the population to face the emergency. Conclusions: We identified relevant public health actions that showed the capacity of local health services to organize a response to the pandemic at the level of the actors responsible for these services.