PurposeFor almost half a century, society has been aware of the existence of a glass ceiling, a term that describes the invisible barriers that hinder women’s access to power positions despite having equal or greater qualifications, skills and merits than their male counterparts. Nowadays, although there are signs of slow progress, women are still underrepresented in the upper echelons of large corporations and the risk of reversing the progress made in gender parity has increased because of the effects of the COVID-19 pandemic. This paper contributes to previous literature by analysing the impact that the uncertainty and cognitive effects associated with COVID-19 in 2020 had on the presence of women on the board of directors and whether this impact has been moderated by the regulatory and policy system on gender quotas in place at the time.Design/methodology/approachTo test the authors' research hypotheses, the authors selected the major global companies worldwide with economic-financial and non-financial information available in the Thomson Reuters EIKON database over the 2015–2020 period. As a result, the authors' final sample is made up of 1,761 companies from 52 countries with different institutional settings that constitute an unbalanced data panel of 8,963 observations. The nature of the dependent variables requires the use of logistic regressions. The models incorporate the terms to control for any unobservable heterogeneity and the error term. Any endogeneity issues were addressed by considering the explanatory variables with a time lag.FindingsThe authors find that almost 30% of the companies downsized their boards in 2020. This decision resulted in more female than male directors being made redundant, causing a reversal in the fulfilment of gender quotas focussed on ensuring balanced boards with a female presence of 40% or more. This effect was enhanced in countries with hard-law regulation because the penalty for non-compliance with gender quotas had led to a significant increase in the size of these bodies in previous years through the inclusion of the required number of female directors. In contrast, the reduction in board size in soft-law countries does not differ from that in laissez-faire countries, lacking any moderating effect or impact on the number of female board members dismissed as a result of the pandemic.Originality/valueThis paper aims to contribute to current knowledge by analysing the impact that the countries' regulatory and normative systems on gender parity on boards of directors have had on the decisions made in relation to leadership positions, moderating the effects of the COVID-19 pandemic on gender equality at a global level.