I went to a Sox-Royals game last year with Quintana starting. He was excellent. The rest of the Sox weren't. They lost something like 2-0, without a runner getting past 1st base after the first inning. I razzed my Sox fan friend by telling them that, "Quintana is going to look so good in a Cubs uniform next year."
I don't actually think that's going to happen since I don't see a good fit between the teams. But I am a Quintana fan. He's a bit (a very little bit) like the Cubs Hendricks in that he doesn't overwhelm you at first glance with his stuff - He just knows how to pitch.
The thing with Quintana is that he's got four years left of control on his contract. So it's conceivable that the Sox could be ready to compete come that last year of the contract. So, I don't think the Sox move him unless they get the "offer you can't refuse." (Which is what I think happened in Eaton's case.)
Hahn should really move on to unloading Frazier, Lawrie, Robertson, Abreu and Cabrera. I bet one of the National League teams really hurting for a right-handed bat (Giant, Dodgers, Mets) surprises you with how much they cough up for Frazier.