I hate to say this, but it's not at all obvious to me that they ever really quit hating us. We won and should have annexed them.
,,, the Germans and French aren't happy at all right now. Brussels has worked out that they've now got 22 languages and over $US1b in translation costs per annum with the recently expanded EU.
The upshot is a recognition that English is now the universal language of commerce and computing and there simply isn't the required skill available to translate volumes of documents from [e.g.] Lithuanian to Maltese.
There's not a lot the marginalised Germans and French can do as they drown in their perception that if you speak English, you'll think American... it must be hell for them.
Q: Do you know what they call this sort of thing where I come from?
A: "Tough".
I spent a couple of years in Germany, in the early 1980s.
Those old enough to have actually lived through the "war" including an elderly man who was forced to fiddle for Hitler, were incredibly and embarassably grateful to uniformed troops of the USA.
Everyone else just looked to us as a meal ticket,ignored us, or tried to blow us up.
I really don't care what the entire rest of the world thinks of the the USA, as long as they fear us.
Fear is a healthy thing.It stops a lot of stupid decisions.