3. Michael Lorenzen
With the departure of starting pitchers Lucas Giolito, Lance Lynn, and Mike Clevinger along with the trade rumors surrounding Dylan Cease, the White Sox would be foolish not to go after a starting pitcher in free agency. While many of the premier starters on the open market will be eying deals in the $20-25 million AAV range, the Sox could find some stability in their rotation at a fair cost in Michael Lorenzen.
Lorenzen was having a great season with the Detroit Tigers, posting a 3.58 ERA in 105.2 innings pitched, and being named an All-Star for the first time in his career. He was dealt to the Philadelphia Phillies at the trade deadline and threw a no-hitter not long after his arrival. He went on to struggle after that and was moved to a bullpen role in the Phillies' run later in the season, but he should easily have a rotation spot in 2024.
Spotrac currently has Lorenzen's market value at around $9.2 million AAV, which is very fair considering the high demand in this year's free-agent pitching class. Inconsistency in the starting rotation was one of the White Sox's biggest problems last year, and the addition of Lorenzen has the potential to stabilize the rotation without breaking the bank.