I'm an American with dual citizenship with an EU country. I'm in the process of applying for my first job in France (my French is pretty good, but it's obvious I'm not native - plus I have an American name and all previous jobs were in the USA), and I don't want my job application to get passed over because employers assume they will have to sponsor a visa/work permit.
Should I mention something about having EU nationality on my LinkedIn/CV/cover letters? If so, how?
Edit: Unique parts of this question are that I'm applying in the French/EU job market (so I'm not sure if it's advisable/legal to put 'EU National' on my application, nor how, or if there is another common practice here that's relevant).