Much has been made about the Braves' desire to move KK since the middle of last summer, and particularly this offseason. Word has come down that multiple Japanese teams were interested, but that KK was blocking a move back to his native land. While there has been no news breaking of late relating specifically to the KK market, there are some other stories that seem to indicate that KK's market is going nowhere fast.
According to MLBTR, the Red Sox are interested in former Phillies reliever Chad Durbin, but they want him as a starter. At first glance the Red Sox don't seem to be a team lacking in pitching, but they have stated over the last week or two that they aren't comfortable with their depth behind their starting five and would like to add other options. Why, then, are they trying to convert a reliever who is accustomed to less than a hundred innings a season into a starter, rather than taking advantage of a starter that the Braves have made sure to promote as being readily available? KK might even feel more at home in Boston with Daisuke and Okajima to keep him company.
The Yankees are still looking to add pitching options to their cluster@#$% of a rotation, and were recently spurned by Kevin Millwood, who is holding out for a major league contract. This indicates two things: one, that even a team so desperate as the Yankees is not willing to take on KK (or at least not while assuming enough of his salary to satiate the Braves), and also that as the spring wears on, if a team needs to add to their pitching depth or replace a starter that comes up injured, the veteran Millwood is still on the market and will likely be snatched up before anyone looks at KK instead.
I'm no sage, and I don't have any insider access to what the front office is thinking on this matter, or any non-public trade interest they may be privy too, but given the wealth of evidence that the organization wants to move him, you have to figure that if FW had a suitable offer that we didn't know about he would've taken it by now. Looking at the evidence available to us, there are two possible conclusions to draw: either the Braves are asking teams to take on too much of the money left on KK's deal and will have to lower their expectations to get a deal done, or that other teams simply don't consider KK a viable option to add to their staffs. I'd hope it's the former, because that is fixable. The spring isn't over yet and anything might happen by the end of ST when holes become more apparent for other teams, but the indications at this juncture are not looking good for a KK deal.