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It's called Manage Your Football Club (MYFC for short), has been developed by handheld firm Sports Director.
The single-player game lets you take charge of any club in the top four UK divisions - Premier League down to League 2 - with accurate player and team names.
It's certainly comprehensive, cramming in tactics, training, transfers, finances and more statistics than you can shake a sheepskin coat at. You even get to build a youth team - an often-neglected element in management sims.
The thing that impressed us most from our hands-on with MYFC was the interface: Sports Director has clearly done a lot of work on the game's UI, from the slide-based training controls to the way you swipe between formations as if browsing photos on your iPhone.
There looks to be plenty of depth too - it's from the Football Manager school of management sims, with huge scope for tactical tweaking and squad-building, right down to individual player training to mould them just so.
The matches offer text-based commentary on what's happening, while a ball icon whizzes around a 2D pitch to show you roughly where the action is.
MYFC isn't quite the first football manager game for iPhone - that accolade goes to the just-released Soccer Manager.
We're keen to see how the two compare: in the absence (so far) of big guns like Football Manager and Championship Manager, there's a statto-shaped hole to be filled on iPhone.