Cutler had no say in the move to Chicago.
Looks like the wheels are starting to come off already...
(Go Broncos!)
QB Jay Cutler, Vanderbilt: Any interest Cutler received from Big Ten schools such as Purdue, Indiana and Illinois was as a safety. Finally, about a month before signing day, Vanderbilt offered him as a quarterback, and Cutler wound up being the 11th overall pick in the 2006 NFL draft. From here.
Well if worse comes to worse Cutler can always demand a trade, put his house up for sale, and then claim he never wanted to be traded.