As a US permanent resident, how easy is it to get a resident permit in Sweden?

Question

Does having a US green card makes it any easier to become a resident in the EU countries?

Answer 1

if you file for residency in aonther country you will lose your us residency because having the green card mean that you are suppose to leave and work in the us
if you were a citizen that would have been a different matter
for you to apply in Sweden you need to apply under your originated country because you will have to give your b/c
Your us peper will have nothing to do with it
if traveling to Swed we need to have your passport and it will not be a US one