Something like a Java APP that can at the very least monitor Game Updates, Weekly Reports and Roster Information(Training, Injuries, etc).
But what would really be nice is if it had some kind of interactivity like setting the Training regiment, fixing specific lineups, bidding and of course access to inbox and forums.
I know the phones nowadays have very nice Web Browsers.. but having an application that's dedicated to team management and public relations(messaging) would be awesome.
On the monetary aspect, i can imagine myself paying for some sort of SMS service that updates me of scores, bids, etc.
P.S. I'm a mobile app developer so these things actually interest me =)