Via Nikkan Sports: David O'Brien notes the Braves have been contacted by anywhere from 2-5 NPB teams about Kenshin Kawakami's availability. The Yomiuri Giants and Hanshin Tigers are mentioned as potential front-runners, if only because they can take on his contract. But the Hanshin Tigers have also contacted Hiroki Kuroda's agent and chances are they'll only go after one or the other.
In either case, the Braves may end up having to eat all or most of Kawakami's contract in order to move him.
Incidentally, I've also read some rumors about the Tigers sending Matt Murton over to the Braves for Kawakami. While Kawakami might be an interesting option for the Tigers, I just don't know if I can see them moving Murton for him.