The Chicago White Sox, as mentioned before, is pretty set at the catcher position for a while. If they wanted to move Seby Zavala for Kirby Yates, that would be a win. It would even be a win if they threw Gavin Sheets in the deal as well. This is a two for one trade that would helo out both sides. The Padres would be adding two young players to their organization while the White Sox would be adding a dominant reliever.
Gavin Sheets is the first baseman. The White Sox have an old friend named Jose Abreu to be their first baseman for a while before Andrew Vaughn takes over from there. This team is historically good at having a very good player play in that position. They went from Frank Thomas to Paul Konerko to Jose Abreu all before Vaughn takes over. That is why it is hard to see Sheets ever playing the position full time.
Kirby Yates is a dominant reliever that the White Sox would be smart to add if they can. He had a 1.19 ERA and a 0.890 WHIP in 2019 over 60.2 innings pitched. He had a 3.0 WAR which is excellent for a relief pitcher. He might have to wait and see if the Padres are contenders to see how this works but when the time is right, the White Sox would be a perfect fit.