National Sandwich Day is Thursday, November 3, where some of the country's most well-known sandwich shops will be giving out free items and discounts. Here are places celebrating National Sandwich Day with great deals:Subway is giving out free food as part of their #GoodDeedFeed initiative. On Thursday, customers who buy a sub and drink from the chain will get a free sub, and the chain will also donate the monetary equivalent of a meal to Feeding America Customers who buy one medium sandwich at Schlotzsky's will get one free on National Sandwich Day.Customers have a chance at winning "a year of free Potbelly." Purchase a sandwich from one of their locations on National Sandwich Day. Then post an image of the sandwich on Instagram with the tags #NationalSandwichDay and #PBEntry while tagging @PotbellySandwichShop.More restaurants are also offering non-Sandwich Day-specific deals, that doesn't stop you from enjoying them on Thursday, according to GoBankingRates.com