This article examines the theoretical and practical aspects of the activity of medical managers, the social and psychological climate within teams, and interpersonal relations. The goal of the study was to investigate the interpersonal interaction styles and intragroup relations between team members and managers, as well as to determine the impact of managers’ psycho-emotional characteristics on their effectiveness during the COVID-19 pandemic. A total of 158 medical workers participated in the study, which was conducted in 2021 using a self-developed questionnaire. The expert evaluation method and standardized psychodiagnostic methods were used. We identified negative factors that affected the management of medical institutions during the pandemic, such as deficiencies in material and economic support, low levels of managerial competence, violation of collegiality and fairness principles during duties and rewards distribution, and deficiencies in manager recruitment. The most psychologically challenging aspects of managing or working in a medical facility during a pandemic include excessive emotional tension and stress, high levels of responsibility, lack of management experience and/or competence in crisis conditions, physical overload, work outside of working hours, and lack of adequate rest. A mini-personality profile of the effective manager of medical institutions in pandemic conditions was developed. One of the psychological regularities of a manager’s performance identified is the presence of self-regulative skills in negative emotional states, pronounced activity and energy, mobility, and a strong desire for action.