EU has regulations, which prioritize employment of their own citizens over those from outside the EU zone. Besides this, all EU countries require you to pass language exams or demonstrate proficiency before you're eligible to practice. Unless you have citizenship of an EU country, you're facing an uphill battle to find work in the EU with solely US citizenship. While your credentials will be recognized and you'll have an easier time getting licensed, working there is a different matter. I would consult a country specific forum/an immigration lawyer.