I thought about that question too. Haven't seen anything made yet.
(I'm assuming you're talking about the metal frame+racing chair+monitor mount rig)
Wheels and yokes usually clamp to the front lip of a desk. It looks like some (ie VelocityOneFlight) sit on top.
I use a TM Warthog HOTAS. Slide the throttle forward, slide the stick left, the desk is clear again. They are heavy. Not much space otherwise.
There are some nice setups out there
https://www.airliners.net/forum/viewtopic.php?t=1473429
A lazy susan might work. A left-right linear might not be strong and take up more space.
Need a solid sliding surface such as two thin sheets of bumpy plastic with a clamping system.