It just needs something in between.
Can you install carpet on plywood.
Whether you re installing over an existing floor made from linoleum hardwood or concrete or on top of a plywood subfloor you need to inspect the surface to ensure it s ready for installation.
Don t even try to put flooring on top of carpet.
There will be way to much flex and give even with plywood.
There are some sound dampening underlayments made of cork or rubber to limit noise transmission under wood or tile flooring but it sounds like you have been told no on that already so i think you may be stuck.
Press or walk on the carpet to adhere it to the wood surface.
However we highly recommend removing existing flooring.
In some cases you can also install carpet tiles over existing wood tile or vinyl flooring so long as the existing flooring is no more than an inch thick.
Carpet tiles can adhere to concrete plywood or particleboard subfloors.
Tape neighboring pieces together with 2 to 3 inch masking tape or as directed by the manufacturer.
Coat the back of the carpet with adhesive if so directed by the adhesive manufacturer.
You may achieve best.
When prepping your installation site make sure the that surface is.
Install carpet pad so that any seams will be at right angles to those in the carpet.
Use a utility knife to trim any excess carpet from the wood surface if needed.
Carpet can be installed over particle board.
Most contractors will use 1 4 to 3 8 plywood as an an extra layer or underlayment over particle board before installing carpet.
Use a staple hammer tacker to fasten the carpet pad against the edge of the tack strip.