According to the British medical recruiter I spoke with 48 hours ago, it is virtually impossible for non-EU citizens to get residency in the UK. The US would not be an easy option, but it is at least possible (but tough, because you need a visa). Currently, if you can speak German at the B-2 level, it is possible to get a residency in Germany as long as you can present yourself well and you know your stuff.
"To array a man's will against his sickness is the supreme art of medicine."
- Henry Ward Beecher