Be aware that enabling wifi on an aircraft may well be in breach of the carrier's rules or national rules. Wifi is supposed to be OFF in airplane mode, the idea being to prevent any radiated signal from the phone.
By default it is. You have to manually go turn it on.
Don't know about their international flights because I've never taken one, but certainly on their domestics, AA over WiFi on most of their routes for those people who wish to pay extortionate rates for laggy satellite connections.