The custom in most regions is that the man meets the woman's parents first, which shows that the man pays more attention to the woman, and this is also related to the greeting ceremony. When the man meets the woman's parents, the woman's parents will give the man a red envelope, and when the woman meets the man's parents, the man's parents will need to give the woman more red envelopes.
In some places, it is customary for the woman to meet the man's parents first, because in traditional Chinese families, men are in charge, so the woman to meet the man's parents first will appear more male and more important.
If the parents of both men and women do not care about the order, then the two can arrange to meet according to their actual situation. If both people are busy, then you can get both parents together at the same time, so that everyone will meet together, is also a very good way.