Place baking soda in a bowl and set the bowl in the drawers or on top of the furniture to absorb and neutralize the odors. Replace the baking soda every few days.
Place a bowl of vinegar in the drawers, as well, but don't allow the wood furniture to get wet. Although vinegar has a strong smell of its own, it has been used for many years to neutralize foul odors.
Place two to three chunks of activated charcoal in the drawers or in a bowl on top of the furniture. Activated charcoal, available at hardware and aquarium stores, is the big gun when it comes to removing odors. After a few days, the charcoal loses its ability to absorb odors. Place it on a baking sheet and bake it at 300 degrees Fahrenheit for one hour to restore it.