It could become tricky if your headset does not have mini-connectors that most computers have. You might need to purchase/build an adapter cable. Also, the computer provides phantom power for electret microphones and that could damage the microphone if yours is dynamic.
If you have the Pro Elite headset already, Heil sells a USB adapter with preamp:
If you haven't made the purchase, yet, they make a headset specifically for interface to a sound card, the Media Pro headset.
Here is some basic info on the mic to soundcard interface:
My suggestion, go wireless. It's great not being tethered to the computer. You can play radio (with VOX and on-ear mute) throughout a modest home with a set of these: