The most natural way to say “I like men” in Russian is: Мне нравятся мужчины.
Literally: “Men are pleasing to me.”

Notes

  • Мне = to me
  • нравятся = are liked / are pleasing
  • мужчины = men

If you mean romantically / sexually attracted to men , that same phrase is usually understood that way in context. If you want a softer or more casual version, you can also say:

  • Мне нравятся парни. = I like guys.
  • Я люблю мужчин. = I like/love men, but this sounds stronger and more ambiguous.

A useful example:

  • Мне нравятся мужчины с бородой. = I like men with beards.

Quick pronunciation

  • Mne nrav-yat-sya muzh-chi-ny

TL;DR: Мне нравятся мужчины.