Originally Posted by Patpacillosjock
Not one team would take anybody we've picked up.
That's just a hyperbole. Just off the top of my head:
Other teams wanted Schoenweis. Toronto traded him to us when there was a better offer on the table from Boston, but they didn't want to help the Sox out.
Other teams wanted Cormier (including the Cardinals), but Krivsky was willing to give out an extention (which was a poor decision anyways).
There was reported interest in Lohse as a reliever.
And I'm guessing teams have been interested in some of the other pick-ups which we simply haven't heard about.