Responsiveness is a core element of World Health Organization's health system framework, considered important for ensuring inclusive and accountable health systems. System-wide responsiveness requires system-wide action, and district health management teams (DHMTs) play critical governance roles in many health systems. However, there is little evidence on how DHMTs enhance health system responsiveness. We conducted this interpretive literature review to understand how DHMTs receive and respond to public feedback and how power influences these processes. A better understanding of power dynamics could strengthen responsiveness and improve health system performance. Our interpretive synthesis drew on English language articles published between 2000 and 2021. Our search in PubMed, Google Scholar and Scopus combined terms related to responsiveness (feedback and accountability) and DHMTs (district health manager) yielding 703 articles. We retained 21 articles after screening. We applied Gaventa's power cube and Long's actor interface frameworks to synthesize insights about power. Our analysis identified complex power practices across a range of interfaces involving the public, health system and political actors. Power dynamics were rooted in social and organizational power relationships, personal characteristics (interests, attitudes and previous experiences) and world-views (values and beliefs). DHMTs' exercise of 'visible power' sometimes supported responsiveness; however, they were undermined by the 'invisible power' of public sector bureaucracy that shaped generation of responses. Invisible power, manifesting in the subconscious influence of historical marginalization, patriarchal norms and poverty, hindered vulnerable groups from providing feedback. We also identified 'hidden power' as influencing what feedback DHMTs received and from whom. Our work highlights the influence of social norms, structures and discrimination on power distribution among actors interacting with, and within, the DHMT. Responsiveness can be strengthened by recognising and building on actors' life-worlds (lived experiences) while paying attention to the broader context in which these life-worlds are embedded.