Scrape remaining felt off the shelves with a plastic paint scrapper. Scrape carefully so as not to damage the shelf surface.
Apply water-displacing spray on the remaining felt and its residue. Let the liquid soak for 10 minutes before scraping the remaining felt off the shelves with the paint scraper. Alternatively, use olive oil if you don't have water-displacing spray.
Wipe the paint scraper clean with a paper towel after each passing. Continue applying the water-displacing spray and scraping with the plastic scrapper until you have removed all traces of the stuck felt.
Dampen a clean cloth with cool water, and wipe the shelves clean. Dry the shelving with a lint-free towel.