From a business perspective, the health and socio‐economic effects of the COVID‐19 have affected a firm's stakeholders to a different extent, making it necessary for them to develop sustainable initiatives that allow them to meet their needs. Decisions must be made and implemented in a recessionary environment in which companies debate whether it is economically reasonable to promote them and whether they can afford not to do so. In this work, based on the theory of social identity, we argue that these business commitments will have been promoted in companies with boards of directors that have a greater female presence. The results obtained for a sample of 4821 multinationals confirm that the repercussion of incidental affect on the social identity of the in‐group of female directors has partially slowed the setback that business sustainability has suffered due to the pandemic, which is especially important with respect to good governance policies and practices and guaranteeing the social and environmental commitment of previous years. This evidence has important theoretical and practical implications, contributing the current debate on strategic decisions regarding sustainability and the benefits associated with board gender diversity.