2:11pm: The White Sox are telling teams Danks is not available, tweets SI's Jon Heyman. It seems that Rosenthal threw his name out there as more of an example, anyway.
11:19am: The Rangers are pursuing White Sox reliever Matt Thornton, tweets Ken Rosenthal of FOX Sports, and the Sox want starter Derek Holland in return. He adds that the Rangers would only move Holland for Thornton if the White Sox expanded the deal to include a starter such as John Danks. That'd make for an interesting story, with Sox GM Kenny Williams having stolen Danks from the Rangers in '06 for Brandon McCarthy.
Holland, a 24-year-old southpaw, is under team control through 2015. Danks, meanwhile, is a free agent after the 2012 season. Thornton will be signed through '14 if his club option is exercised.