Fill the drawers with Cedar Chips.
Try stuffing the drawers with wadded up newspaper, or with packets of activated charcoal. These can absorb the odors.
Another thing to try is to set the drawers outside in the sunlight for an afternoon or two. You may want to cover the exterior wood with brown craft paper or some sort of fabric to prevent fading during this process.
If neither of these techniques are successful, you can lightly sand the interiors and bottoms of the drawers and the unfinished inside wood of the dresser itself. Use a cloth dipped in white vinegar and well-wrung out to wipe away the sanded wood particles. You may want to repeat the sunlight treatment after this.
Cold and dusty
Smoke
Wash the smell out, then either see a hair dresser and ask for a new look, or wait for it to grow back.
Throw it away. ;-D
I'm not sure why you would want to. You could use a sachet, or moth balls to cover the smell. Air it out for, a long time, I suppose. Most people love the smell of real wood. That's why there are cedar chests and closets. The smell is wonderful.
If you have another dog he will try to mark his or her before the other, it you house is dusty it smells like outside dirt and they smell it and they mark as close as they can by were they smell it
It depends on what they prefer, they could like the odd smell to feet, or the possible dusty sting of the odor, basically they like the smell or the act of smelling peoples feet.
You need to get a vaccum with more suction and filtering capabilities.
Put newspaper in the drawer and use fine kitty litter from your local store (the clumping type.)
Let it stay outside for a day if you can to let it "air out". Also febreeze fabric refreasher works great.
lemon tree <><><> Cedar has a very nice smell, and is used to make storage chests. Bugs do not like the smell, and leave clothing alone that is stored in tem.
Sorry, it's a one way trip. Once they are tainted, you will not be able to undo it.