Is it ok to mention games in your website?

I'm currently making a website, and one of the sections/links on it is to my servers page. I want to mention names of games (e.g. Minecraft, Garry's Mod, etc) but I don't know if I'm allowed to due that (copyright problems, etc.) Would I be allowed to say that I host servers for a game on the website?

I think so because I've seen a lot of websites belonging to servers of those particular games.

I think so, you might have to get permission or just give credit somewhere.

I'm not 100% sure, but I think you can. Just to make sure, I would not insinuate that you own Garry's Mod or any other game. Also, just to be safe, at the bottom of the page you can say the owner of the games to give credit to them.

Merely mentioning the name of something is perfectly legal, why wouldn't it be?
Breaching copyright means stealing other people's intellectual work; it's a far cry from using its name.

Imagine web sites couldn't mention the names of movies, books or games… Seriously, what made you think that?!