No, it is not common for men (or women) to want their girlfriend or boyfriend to meet their parents on the first date. In most cases, meeting the parents is considered a significant step in a relationship and typically takes place after both individuals have been dating for some time and have established a level of commitment and seriousness.
In the early stages of dating, people are still getting to know each other and determining if there is potential for a deeper connection. Introducing someone to parents is a more intimate and meaningful gesture, and it's usually reserved for when the couple has developed a stronger bond and is considering a more long-term relationship.
Wanting to introduce a partner to one's parents on the first date might be considered unusual or even rushed by many individuals, as it skips essential stages of getting to know each other and building trust. It's essential for both partners to communicate their comfort levels and expectations in the relationship, ensuring that they are on the same page before taking any significant steps like meeting the parents.