Wii Hdmi Receiver Is There A Way To Connect The Wii Via HDMI Switcher?

Is there a way to connect the Wii via HDMI switcher? - wii hdmi receiver

I connected my TV to a chimney, I would like the cable connections. I have a Wii, Xbox 360 and a receiver for DISH Network. I thought HDMI Switch is the answer, but can not connect the Wii in this way. Any help?