User blog comment:Reddude/Dodging the Inevitable/@comment-1228137-20110310205436/@comment-1153194-20110311220947

I rarely run away, unless my Pokemon are on their deathbed, or something.

The GTS is in every Pokecenter. You need wi-fi, of course. It's the lady at the far right on the second level of the Pokecenter. She's next to the globe.