Yeah I am capable of moving it, but I can't due to the lease agreement. That and the landlord won't move it because they are cheap and I am breaking a rule by mounting something on the wall. That is in the lease too. I wouldnt minding screwing 4 holes in the wall to mount it if the thermostat wasn't in the way but if I move the thermostat and they catch it I would at the very least not get my deposit back. I could fix the screw holes but I think they would notice the thermostat being moved. I wish I owned a home

I guess I'm just screwed, or I will have to buy a stand to accomodate the center.
Instead of actually moving the thermostat, I was thinking you could just pull it off the wall and run wire straight down the wall and put the thermostat 'hung' on the wall or in a corner with a wire running up to it as a temporary move. You wouldn't 'need' to drill holes or fish wire - just tuck a piece of wire near the floor for the short term, then when you move out, the thermostat goes exactly back in the old location without a hole or anything to show at all for it.
Just a thought - and entirely up to you.
I know when I was renting I mounted my plasma, projector, and screen and the apartment company didn't say a word. It is very normal to paint between tennants, or at least touch up, and it only takes a couple of hours with spackle to take care of holes... It's probably what I would do.
On the other hand, you can look at A/V furniture for the center channel/plasma to sit on. I have the CLR and it was so non-plasma friendly I ended up buying the Mythos 8 speaker to use instead.