This is an HDMI switch and not an actual monitor connection which is primarily intended for connecting screens to a computer, there will only be an image on one of the outputs and now 4K on the TV and monitor is 3840x2180 pixels, so from that point of view it depends more on the graphics card, if it can do 4K resolution, then it would also work with this switch.

I have not tried this and therefore cannot answer the question.