Sorry, we don't have the answer yet. MLB.com's Todd Zolecki posed the question to Jake Peavy's agent Barry Axelrod, and Axelrod said:
"I have not discussed Philly with Jake because nobody has asked us to discuss Philly. He has a strong preference to play in the National League. He also wants to play for a contender. Both of those two things play into Philly's hands. The personnel is awesome. If there is one downside, it's the geographical difference for him, given that he has made his family home in the San Diego area."
Axelrod didn't talk about his client pitching in a hitter's park, which has to be a consideration as well. Do the Phillies have the goods to pull off a deal? I think so. Pitchers such as Kyle Drabek, Carlos Carrasco, Kyle Kendrick, and J.A. Happ could be appealing to the Padres to various degrees. And Jason Donald could help the Padres. Talking to David Murphy, Phils GM Ruben Amaro Jr. admitted he'd like the improve his pitching and add a bench bat.
As far as Peavy to the White Sox, the pitcher's former teammate Scott Linebrink believes that deal is dead (they spoke about a week ago).