That's what I thought too. But after watching several animated live matches (new feature on mobile), I saw the opposite. The engine seems to see left/right from my opponent's view point. I assigned PlayerA to take RIGHT corner kicks and PlayerB to take the LEFT corner kicks. Here are the positions of PlayerA and PlayerB on animated live matches when they took corners:
-----------------------------==goal==------------------------------
|PlayerA .................................................. ..........PlayerB |
| |
.......................(opponent's half)
..................--------------------------------------
.......................(my half)
|----------------------------==goal==----------------------------
same thing for free kick.