Zep Fresh Odor Control Concentrate can be used to deodorize or clean anything besides wood basically. I use it to deodorize clothes/shoes I sell on Ebay even clothing that's new. It's one of the best cleaner/deodorizers I've ever used and it's a concentrate so it's very cheap. My dad's rent house wreaked of smoke and it didn't even take 10 mins and 25 cents of this stuff to make it smell better. I put it into a bottle then shake it up so it sprays finer and covers more area. You can find it at any Menards or Lowes, if you get some I would try some out under the pocket to make sure it doesn't discolor your felt but like I said I've sprayed it on brand new clothing before with no issues.
Cleans, deodorizes and disinfects surfaces
Antibacterial solution helps kill odor-causing germs
For use in homes, hospitals, day care centers, restaurants, hotels, offices and more
Most "deodorizers" try to cover up the smell which just makes it worse but this kills the germs that create it. I've used an Oxy stain remover that ruined an entire load of laundry, for a pool table you might even just get a smaller mist sprayer to cover more uniformly. I use it to clean the tub and sink too and only have to clean the tub 2-3 times a year with a magic eraser.