I'm going to make a bold prediction. I hope it turns out better then that prediction by Harold Camping! Then again, if I'm wrong it isn't the end of the world.
Mind you, I'm not necessarily predicting that they will actually go to arbitration, a deal may be struck before that happens. On the other hand, arbitration wouldn't surprise me in this situation.
Why do I think this? Primarily because Parise is coming off an injury. Like it or not, Zach's knee injury can be used against him in arbitration (Section 12.9 (g)(ii)(B) page 58). This is for good reason because often players aren't the same after an injury. As a 'comparable' I'll use John Maclean who had knee injury that cost him the whole '91/'92 season. He was a similar age that Zach is now. While John was a very good player after the injury, he simply didn't perform to the same level as the three years immediately proceeding the injury. Had you payed him after the injury based on pre-injury performance you would have overpaid.
Is this a fair comparable? Probablynot because it isn't contemporary. Regardless, the main advantage to arbitration is that you get additional information regarding Parise's recovery by simply watching him play one more season.
There is more I'd like to say, but at this point I'd like some feedback if anyone cares to give it. Thanks!