Parental hesitancy poses a serious threat to the success of the COVID-19 childhood vaccination campaign. We investigate whether adults' opinions on childhood vaccination can be influenced via two survey experiments in Italy (n=3,524 participants) and the UK (n=3,066 participants). Respondents were randomly assigned to: a “risk treatment” that highlighted the potential risks of COVID-19 to a child, a “herd immunity treatment” that emphasized the community benefits of pediatric vaccination, or a control message. Participants’ probability of supporting COVID-19 childhood vaccination was then assessed on a 0-100 scale. We find that the “risk treatment” reduced the proportion of Italian parents strongly against vaccination by up to 29.6%, while increasing the proportion of neutral parents by up to 45.0%. The “herd immunity treatment”, instead, was only effective among non-parents, resulting in a lower proportion of individuals against pediatric vaccination and a higher proportion of individuals in favor (both shifted by around 20%).