Five Thirty Eight has a short article on how Brexit probably eliminates the free movement of labor, such as a so-called 'hard Brexit'. That appears to be the way things are trending now that there is no Parliament vote on the deal hammered out between May's government and the EU. https://fivethirtyeight.com/features/brexit-could-drastically-change-english-soccer/
Hard Brexit could be the best thing in decades for the EPL and for the four nations. Some UK players might actually get playing time