This paper examines whether there exists obstacles hindering women's ascension in the largest firms of the Brazilian manufacturing industry. In particular, we check whether gender matters in the time it takes to get a promotion to a managerial position. Once we control for covariate-dependent censoring, we find significant evidence that foreign-owned firms feature less gender differences in promotions than domestic firms. The same applies in other dimensions of career progress, namely, wage growth and promotion likelihood. It turns out that wage gains after promotion contribute to generating wage differential between males and females only within domestic firms. This is consistent with statistical discrimination and with the self-selection that results from employees optimally choosing which jobs to apply for. Jobs in domestic firms offer more flexibility in terms of hours per week, whereas multinationals compete for the most career-concerned workers