I live in a rented flat, with "caged pets", my rabbits are free range 24/7 but Jake has a large pen round the room as bunny proofing which can be set up and beano and Gordon have an xl dog crate they can be popped in for inspections, work etc. They know we let them out and are fine with it, most just enjoy fussing them and are impressed at their litter tray skills etc and know now how its fairly common to have house rabbits like that.
But obviously not every one approves, could you put something down over the carpet if you're worried about him chewing it, I have a few floor tiles down on the areas Gordon chews?