I have always been saying the exact opposite. Patriarchy is oppressive to everybody and men should fight alongside with women to bring it down.
Are you sure? There must be someone benefiting from all that oppression, n'est-ce pas?
Obviously men in general also draw huge advantages from patriarchy. This doesn't mean they can't also be oppressed in some form.
The thing about patriarchy is that it's not really a material power structure, but an ideological one. It's not about men oppressing women per se, but rather about men and women being both forced into specific gender roles, which happen to be organized hierarchically. Thus, while men are assigned a rather advantageous place in society, they still aren't fully free to choose what to do with their lives.
And? Are you unhappy that you can't wear a skirt?