If this Mac is an older Mac, many PC style headphone microphone headsets that use a small 1/8 style jack that plugs into the headphone jack will NOT works as Apple, usually, uses a non-standard, special length jack that makes using these type of audio headset mics a very difficult proposition.
There are very few of these style headset mics that work with Apple Macs and those that do or did will be hard to obtain now as they are, probably, out of production.
Depending on your OS X version, you will have better luck finding a USB connected headset mic or USB connected webcam for use with your older Mac.
Even with USB peripherals, you still need to make sure that it states the device is Mac compatible.
Sorry and Good Luck!