I need a corded headset that will work with cortelco 2500 that has mute and is corded with sounds reduction

Which corded headset will work with Cortelco 2500 phones which has mute and has noise reduction?

You will need a headset and telephone adapter.  The adapter has mute functions for the headset as well as providing  noise-canceling.

For headsets go to this link: http://eglobal-teck.com/gnHeadsets.html

For telephone adapter go to this link: http://eglobal-teck.com/gnAmps.html#8210