Is a Master's degree in Europe valid for a teaching career in the USA? I'm currently an undergraduate student in the US but looking seriously into some master's programs at European universities for the international experience, cost difference in my field, and exposure to different styles of study. I'd also like to become a high school teacher someday at a public or private school, most probably in the United States.

I understand that each state has license requirements for public school teachers, but as far as where they get their higher degree, would it be disqualifying if the graduate university is outside the US? Does the type of accreditation matter (like if it is accredited in the US, or by the government of the country in which it is located, or another authority)?

For context, the universities I'm looking at are in EU countries and the UK and middle-to-well-ranked.

EDIT: For clarification, I am a US citizen by birth and will earn Bachelor's degrees in the US. And as far as why I mentioned I'm looking into US schools, I would totally be open to pursuing a career abroad but I know attaining second citizenship can be difficult and I have know idea what job markets are like abroad... the US just seemed like the more realistic option.
The short answer is that your EU Master's degree would typically be about as useful as a US Master's degree in your subject area, which is not very helpful by itself.  

Most of the requirements to be licensed as a teacher in most states in the US have more to do with what training you've had in education rather than your subject matter expertise.   

A further important point is that if you aren't already a US citizen and unless you can immigrate to the US through some other pathway (e.g. by being married to a US citizen) you'll find that it is difficult if not impossible to get work authorization to teach in a school in the US.