When a new technology is introduced in healthcare, especially one based on AI, it invites meticulous scrutiny. The COVID-19 pandemic has accelerated the adoption of chatbots in healthcare applications and as a result, careful consideration is required to promote their responsible use. To address these governance challenges, the World Economic Forum has assembled a multistakeholder community, which has co-created Chatbots RESET, a framework for governing the responsible use of chatbots in healthcare. The framework outlined in this paper offers an actionable guide for stakeholders to promote the responsible use of chatbots in healthcare applications.