They find them more innocent
Some men think that women with big eyes are more kind-hearted and honest. Maybe those men resemble them with babies, as babies also have comparatively bigger eyes and thus, develop this perception.
Women with more giant eyes are perceived to be more famine, as they would have lower testosterone levels.
A sign of fertility
Some men think that women with big eyes would be more fertile and get attracted to them quickly.
They think big eyes make women look younger
It is some men’s perception that women look more youthful with wide eyes and more charming than women with smaller eyes. (See, What makes a woman physically attractive to a man?)
They think women look agreeable
Some people believe that women with more prominent eyes look submissive and friendly, so they want to get close to them.
They signal the need for protection
Men adore women with more prominent eyes as these eyes resemble the eyes of babies. Most of the men find those women cuter and hence easily draw their undivided attention towards them. (See, How can a man tell if he has high testosterone?)