There are approximately 1000 franchise stores, this means they are independently owned and therefore not directly affected by the RadioShack closures. It looks like RadioShack intends to come out of chapter 11 as a franchise business, i.e no company owned stores.
The immediate problem for the franchisees is that the Chapter 11 bankruptcy protection is being portrayed as closing of RadioShack so potential customers will assume all stores are closing and those that do consider making a purchase will be concerned about warranty. Also there will probably be a problem obtaining inventory that could be detrimental.
In the medium term the owners of the franchise stores will have to decide how much value remains in being a franchise as the buying power of the much smaller RadioShack will be significantly depreciated resulting in lower margins on products and the the harm caused to the brand by the very public bankruptcy.
I imagine that with the sprint deal the product range will be exclusively mobile accessories and that the company will likely drop most of the other categories such as electronic components, toys, AV equipment etc. Some franchisees may decide to close or change to a fully independent store.