That's only because men, in general, aren't droning on about our problems. We fix them. It is mainly due to our ability to not care about a lot of things. Not because we have it "easier," but because we understand that things happen, and sometimes they suck.
I believe this person's argument could fit multiple fallacies. However, due to the lack of support from a (meaningful) source combined with the inflammatory and insulting language used, I decided to list it as an argument against the man.
Although societal gender roles oppress both men and women, the vast majority of this falls on women, and the inability or refusal of power figures to seek lasting change to this problem will do nothing to solve it.