Objectives Several high-income countries have implemented a gender-neutral vaccination program against human papillomavirus (HPV) infections. The impact of a gender-neutral program (GNP) on parental intention to vaccinate their daughters has not been studied, especially in countries with low HPV vaccine coverage among girls Patients and methods In July 2019, before a GNP was implemented in France (2021), the French National Cancer Institute (INCa) conducted a survey on HPV vaccine acceptance among parents of children aged 11–19 years living in France. In the sample of girls’ parents (n = 1424 parents, 1726 girls), we investigated whether parents who declared no initial intention to have their daughter(s) vaccinated changed their minds after reading information including a male perspective on HPV consisting in description of HPV-related disease among men and in ascertainment of the fact that in some countries, the HPV vaccine is recommended for boys, after which they were once again asked about their intentions “if the vaccine were recommended to boys and girls alike”. Results As regards 295 (25.7 %) of the 1147 unvaccinated girls, their parents declared no intention to have them vaccinated, while 509 (44.4 %) were not sure. Among the parents of the 804 girls whose parents had not intended to have them vaccinated, 134 (16.7 %) changed their minds after reading about HPV among men. Fathers were more likely than mothers to change their minds, and finally intend to have their daughters vaccinated (adjusted relative risk, 1.74 [95 % confidence interval, 1.20,2.54]). Conclusions These results suggest that parents, and fathers in particular, could be more motivated to have their daughters vaccinated against HPV if the information with which they were provided included a male perspective and a recommendation of vaccination for boys as well as girls.