There are thousands of flight schools in the USA where you can train for an FAA pilot license and only 2-3 that are authorized to do an EASA PPL, usually these were satellites for UK based schools.
As a non US resident you’ll need to find a 14 CFR Part 141 approved school ( hundreds of them) that can issue a M1 visa for flight training.
More correctly they’ll issue an I-20 form with which you can apply for an M-1 visa at the US embassy or consulate in your home country.
Here’s a tip,
Do the EASA PPL written exams at home then go to the US for an FAA PPL then do whatever is required flying wise for your EASA PPL.
DO NOT do an EASA ppl in the USA as you’ll be flying in US airspace in US registered airplanes with mostly US instructors that are generally very poorly standardized.
You’ll need transition hours to get used to flying in Sweden anyway.
Take the adventure and added experience of flying in the US then convert.
Good luck.