The best possible option on the market for a Chicago White Sox position player would be George Springer. Obviously, Trevor Bauer is the biggest free agent this offseason, and the White Sox should take a run at him. Outside of him, Springer is the next best option for them. They need help in right field so bad and adding Springer would be dropping a superstar in that spot.
Springer can play some great defensive right field and is also one of the best offensive right fielders in the game right now. It has been proven as he is a two time (2017, 2019) Silver Slugger Award winner. This is the type of player that helps teams win World Series titles. In fact, Springer brings World Series-winning experience as he won a ring with the Houston Astros in 2017.
Of course, the elephant in the room is the sign-stealing scandal that the Houston Astros were found guilty of. In 2017, they won the World Series in the year that they were accused of doing so. Springer is guilty and it will always be a talking point about his career. It was a major mistake that he made but he proved in 2019 and 2020 that he is still an amazing hitter without it. That, in a lot of ways, makes what he did even more annoying.
You know that when he finally gets to leave the Houston Astros he will be motivated to get that stink of his reputation. Coming over and helping the White Sox would be a great way for him to move on from such a scandal. There is no doubt that the White Sox will pursue him. It would make a lot of sense for him and his family to come over to the South Side and try to help get them over the edge.