I love the phrasing of this question.

Do the women gather in a circle around the man in question, point at him, chant in unison “We don’t want to be friends with you! We don’t want to be friends with you!”, then laugh loudly and mockingly?

Or, instead, is the man in question simply in an environment with a lot of women he would like to “befriend” that aren’t that interested in establishing a relationship, platonic or otherwise, with a stranger, especially a strange man?

I don’t mean to question your motives, but they do seem ulterior. Why wasn’t your question “How can I make friends?” sans the gender dynamic? This might be the key to this particular man’s dilemma. If he was truly friendly, he wouldn’t limit his friendship offers to one particular gender. Friendship is awesome for everybody. And, no, don’t go the route of false equivalence and retort “Well why don’t women approach men they don’t know for friendship?” You can blame privileged male socialization, misogyny, and rape culture for that. Women face (1) a greater social penalty for stepping outside of gender norms and (2) exponentially more sexual harassment and sexual assault than men do, especially from men.

Furthermore, is this man’s offer of friendship just that … or something else? Women have a lifetime of experience dealing with men that offer “friendship” then disappear from women’s lives when friendship is exactly what they get. Those are men that don’t value friendship and instead see friendship as the consolation prize to the truly valued romantic/sexual relationship they’re too dishonest or scared to ask for upfront. Devaluing friendship and using it simply as a ploy is … well, not friendly. It shows and it’s easy to detect.

If a man wants more friends in his life, he should try being friendly and being worth the friendships he eventually gets. If he also wants dates, romance, and sex, there are specific environments for that where he can (1) ask without being rude, pushy, and dangerous and (2) demonstrate his worthiness for that activity. It’s in his interest (to quote the original Ghostbusters) to not “cross the streams.” Let his romance, dating, and sex life be separate from his platonic relationships. He should also make sure to respect all of his relationships with women, whatever form they take.