In the uk we call it American Football. We call Football, Football. We also officially add a Football to Rugby, so Rugby Football and we call ten pin bowling Crown Green Bowling and we play it on a huge grass lawn. Oh wait they are different. A bit.
In the north we also refer to football as soccer (sort of a nickname) as in “ey up yooth, you comin out… Soccer”
I think the word “soccer” was dropped into the US with a load of footballs as a way of getting the yanks interested, since you hosted a world cup (and automatically qualified) then didn’t win it I’m not sure how dearly you took it to your heart. Still at least you bought Beckham, which means he could play third division football in LA.
Apparently (wikipedia) American Football was formed by taking rugby and football elements and mixing the two. So American Football is the official name as it’s a hybrid of two older games one of which you took the name from.