Mic noising

Mic monitoring is the ability to hear yourself through the mic. Many people confuse this with noise canceling. Mic monitoring helps with people that cannot hear themselves while there is gameplay. This sometimes causes people to be extra loud and start
yelling when they can't hear themselves from the mic. Noise canceling mics will normally have 2 mics, one on the inside for you talk through and the other on the outside to listen for background noise and to "cancel" that sound that comes from the second mic.
The options will be in the sound section when you hit your menu, this option is not there if you do not have a headset plugged into your controller.

Most of the time this is done by the maker of your microphone. Mics that cancel background noise use 2 mics to accomplish this. One on the outside to pic up background noise one on the inside to pick up voice. More settings would let a single microphone
be able to differentiate the different noises. Even standing mics have built in setting to limit this as in being directional or a 360 sound. So if you want a mic that can do that you need to.pick out a headset that has these capabilities.

I get the buzzing noise when my mic is plugged in but not being used. Unplugging the mic stops this.

Do you use a play and charge cable? This is known for making a static noise. If not try this troubleshooting link for head phones: https://support.xbox.com/en-US/xbox-one/accessories/wired-headset-help#f6ef68fb541544c893bf055a52851626

Hey friend is the mic detachable and or does the headset connect to the controller. If so i would take a q-tip w some witchazel and wipe it on the 3.5 jacks (male end) and dry whem clean w a dry paper.