Hi Dennis
In a nutshell, you can't. Most office carpets are nylon or, even worse, polypropylene. I liken the situation with these plastics to a strip of steel. If you take a strip and repeatedly bend it, straighten, bend, straighten etc. etc. it will eventually remain bent. The same with a piece of plastic. these fibres are plastic. The backings will also be crushed, so even if the pile was lifted, the backings are damaged.
Wool is more resilient than synthetics, but this would flatten too and the backing would be damaged.
All you can do is recommend a keyhole mat.
Safe and happy pile lifting:)
Ken