You also need to complete a small survey.
The quickest way to do this is to log in to Facebook and then click on the three links above, in order.
The first 200,000 people will get the miles, so you should be OK!
How to earn American Airlines miles from UK credit cards (October 2022)
American Airlines no longer has its own UK credit card.
There is, however, still a way to earn American Airlines miles from a UK credit card.
The route is via Marriott Bonvoy. Marriott Bonvoy hotel loyalty points convert to American Airlines miles at the rate of 3:1. You receive an additional 5,000 miles bonus if you convert 60,000 Marriott Bonvoy points at once.
The best way to earn Marriott Bonvoy points is via the official Marriott Bonvoy American Express card. It comes with 20,000 points for signing up and 2 points for every £1 you spend.
EDIT: Until 8th November 2022, the sign-up bonus on the Marriott Bonvoy American Express card is doubled to 40,000 points!
At 2 Bonvoy points per £1, you are earning (at 3:1) 0.66 American Airlines miles per £1 spent on the card. This will increase to 0.83 AA miles per £1 if you convert Bonvoy points in chunks of 60,000 points.
You can apply here.