About that, I don’t know why nor how but, does starlink needs authorization for all the countries their satellites fly by or only the usa? Is it becasuse the satellites are too “up” in the sky in ot her countries?
This is probably covered by the Outer Space Treaty, but in short, no. Satellites overfly many countries and if they needed permission from every country we'd have no satellites.
I imagine orbits are a thing seen not as deliberate as say, flying a U-2 plane over other airspace. Terrestial jurisdiction would be a very trying thing to enforce for space vehicles
Many states have the capability to shoot down the satellites if they violate local rules, but AFAIK whether they would actually be willing to do that is unknown.
But if you entered a country's airspace or waters without permission you'd be arrested or worse. This is more like preventing everyone from doing things that are illegal for Americans too. Meanwhile, if you operate legally, they are not claiming any control.