Because keeping all of those quotes, notes, and rumors in one post is getting lengthy, let's break this down by team in separate posts. As these come in, they will be updated and reposted.
Latest status: No way, despite Peavy' lobbying.
Phil Rogers (5/25):
Given the White Sox's all-veteran rotation and standing as the fifth puniest lineup in the big leagues -- not to mention the stronghold on the 2010 race by Minnesota and Detroit -- Oswalt makes zero sense for the White Sox. If anything, Peavy's 5.74 ERA has to cut down Ken Williams' interest in any National League pitcher and hurt Oswalt's value with 13 other AL clubs. If Peavy could get treated so rudely, couldn't Oswalt? There doesn't appear to be a great market for Oswalt, who is a great pitcher (at least in the NL).