Protecting American Food Producers from Russia's Market Distortions Act of 2023 This bill prohibits the importation of certain agricultural products, raw materials, and food from Russia if the Russian government prohibits the importation of these products from the United States. Specifically, the bill prohibits the importation of Russian products that are classified under chapters 1-24 of the Harmonized Tariff Schedule (which includes, among other products, live animals, animal and vegetable products, seafood, prepared foodstuffs, and beverages). Further, the bill prohibits federal funds from being obligated or expended for the procurement of these products from Russia. These prohibitions shall terminate on the date on which the President determines and certifies to Congress that (1) the Russian government has terminated its prohibition on the importation of these products from the United States, (2) the Russian government and its proxies have withdrawn all military and paramilitary forces from Ukraine, and (3) the President has received credible commitments from the Russian government that it will not engage in hostile action against Ukraine in the future.