I'm glad you find the idea interesting
the biggest difficulty will be organization. Sedning teams, finding game operators, etc...
I believe some system rules (not speaking of the game itself) will be necessary, things like to engage a team, you have to accept to be game operator at least 1 time each time your team is playing, that sort of thing.
Here's a little scheme of possible organization. the key is to never make games between a game operator and the coaches games he managed (to preserve the secret of playbooks). BUT, a coach can operate a 2nd game and manage a team of a guy he played BEFORE. The idea is to keep the sport interest in all that, and keep it sane and fair.
Of course, we can imagine rows, when the teams can obtain new athletes, or new playbooks (or at least, new formations names). Playbooks are easier to share than teams, because we can send pdf files of it.
edit : Last thing, for people who don't know upside view, I saw a picture on mgallery wich perfectly illustrate that idea. See the 2d attached pic. The game situation is crystal clear to understand. Just imgine than on the video, the point of view will be wider to include the entire gamefield. Now with wide screen and fast internet, we can imagine the coaches using fullscreen 16/10 (or 16/9) view on the field, on their computer.