As long as your sound card (integrated or not) offers 5.1 output (ie green - front/left/right, black - rear/left/right, orange - center/sub) and has a spare USB port (strictly for supplying power) it can run this headset (and a pink mic jack as well if you want to use its mic 😛)
Be wary though, this headset isn't going to offer quality sound, its meant for positional audio, which, IMO, it does its job. Its not the best, but you'd probably need to spend more to get better. For $60 I'd say its worth it if that's the extent you're going to be investing in a headset you intend to use specifically for gaming (and perhaps 5.1 movies).
Some complain about the bass, which seems intentionally weak as excessive bass in games can cover up more crucial sounds. Although if you really want a booming experience, you can always turn the front, rear, and center channels down and crank the bass up, turn the volume down in OS/game and then crank the master volume on the headset up and you'll get bass that will shake your head. Of course while I can find that to be fun at times, it doesn't offer the best sound quality as I've said before.
Alternatives would be going for a quality stereo headset. Something like a SteelSeries Siberia can be found for the same price (~$60). A bit more (~$75) can get you the SteelSeries 5H v2 which has a better mic.