There's no free texting on American Airlines, though you'll be able to send messages through Wi-Fi-based texting apps if you purchase in-flight internet. This service is available on most flights and starts at $10, depending on the flight.
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Wi-Fi services are not available on all American Airlines flights. Cell phone and Voice-over Internet Protocol (VOIP) services are not available with inflight Wi-Fi.
Fly the cheapest days: On U.S. flights, Tuesday, Wednesday and Thursday are usually the cheapest days to fly. On international flights, weekdays are generally cheaper than weekends (but not always).