The Greatest Chicago White Sox Player of All Time
The pitchers are basically Ted Lyons and Red Faber. Lyons had 260 wins, while Faber had 254. But Faber did much better overall--17 fewer losses in his career, a lower ERA, fewer hits and 1/2 the home runs allowed, a few more walks, but far more strikeouts. Faber must clearly be considered the class of the White Sox pitchers.
Among the hitters, Luke Appling had the most games, with Nellie Fox and Frank Thomas behind him. Thomas has passed Fox in runs scored and will probably pass Appling this season. Thomas also holds a rather ridiculous lead over those two with 418 round-trippers compared to a combined 80 combined between Appling and Fox. Not surprisingly, Thomas is way out in front among Pale Hosers in RBI, leading Appling by almost 200 and everybody else by 400.
So it's Faber or Thomas. A complicating factor is that Thomas is still playing, so he has the opportunity to add to his totals. You have to go with Thomas, who has frequently been compared to the greatest sluggers of all time. Red Faber is in the Hall of Fame, but Thomas will get there.