In a heartbeat, as long as its a 2 yr vet min.
Oden (or his agent) would be a moron to accept that deal.
I'm not sure he'll get offers for more than that.
Why would a team sign him without another year on the deal? Maybe he gets more than the minimum, but he'll be forced to take a two year deal.
A team would sign him without another year on the deal for the same reason it might make a trade for a player on an expiring contract who won't be re-signed as a free agent.
From Oden's perspective, if he can get his body to where he wants it to be, he wants to demonstrate that he can be useful over a small sample of games so that someone will give him more than the minimum next season. Otherwise, he'll just wait until the off-season when more teams have exceptions they can toss at him.
If he can pass a physical and do a workout with the team, but says he is not signing through next season unless he gets something close to what his agent tells him that he could get in the summer if he waited until then, would you sign him through the end of the season for the minimum or would you stick with Wilcox and Collins backing up KG at center?
EDIT: At best, you might be able to get a player option for next season.