Here's how Brits can get permanent residency in Sweden after a no-deal Brexit

[Celerity]

4. it will definitely be easier for an american to come to Sweden than the UK after a hard Brexit,

barring some special bilateral deal the UK might make withe the US (which I do not see happening.)

The Riksdag is proposing a new law that will enable foreign, non-EU graduates (of Swedish universities) to be automatically allowed to stay on for a full year and look for work, which will lead to a permanent resident permit, and then citizenship after 3 to 5 years.

If you have in-demand skills and the placement qualifies for a shortage area, it is also not that hard to move here. Not easy, but deffo not impossible. I know many Americans here who have done it via both routes.