For some reason it wouldn't let me type with the picture so I will do it here.
I know that this may be a stupid question but I just wanted to check.
I recently got the Sennheiser PC 363D gaming headset but have no where to put it after I'm done using it. I have stated putting it on my monitor ,(see picture) but could it damage the monitors pixels?
Probably not. You'd need to put some decent pressure on the screen in order to damage the liquid crystals. At worst you might scuff up the exterior of the screen a bit. Why not just set them on the desk next to the monitor, or on the shelf next to you?
I am doing this since years and had no problem with my Benq screen . As long as there is not much pressure on the screen (like when you touch it) then It will not break
Just hanging there, nah you're good. I would only be concerned about oils from the headphones possibly staining the coatings on the monitor.