I'm in Canada, so it's slightly different, but I think it's likely similar anywhere.
There needs to be a real selling point if you're going to hire someone who doesn't practice locally. So much of engineering is knowing how things are done in a given industry in a specific place. Unfortunately, since you don't know the codes, the material specifications or the local regulations, you're pretty much a new graduate. But you're a new graduate with regulatory headaches involved with regards to being permitted to work. If there's a thing you know how to do that may not be typical, finding a firm that wants that might help you.
It's a hard sell for someone to hire you in that situation if there are other applicants. I've been involved with hiring people recently in Canada from other countries, but they got themselves eligible to work here before they applied. Even then, they had to take a seniority bump as a trial to see how they worked out.
I'd suggest:
-See what you can do to get a permit on your own. I think that's hard in the US, but I don't know what their deal is with France. Maybe there's a short term work permit situation.
-Study for and take the FE exam at least. That's the one that new graduates take. It would prove some baseline level of knowledge. If you take the PE, though, you'd be in a much better situation overall.
-Take a couple of courses in the US engineering context to show you have a background. Wind procedures, for instance, are reasonably varied from Eurocode. But basically anything to familiarize with the US codes. ASCE-7 is a monster of a document. Things like the steel codes and concrete codes are more immediately transferrable, but are still different.
Like, I have been an engineer for over 15 years and for a North American engineer have a reasonable understanding of Eurocode stuff. I still wouldn't feel comfortable trying to go work in Europe without a fair amount of sitting down and learning details. If I were trying to get a foothold there it would be as a specialist in something that isn't heavily national code reliant.
Every time I end up in discussions with suppliers using Eurocode I end up doing hours of research just to make sure I'm commenting reasonably on their work because the details are different and they matter. My guy checks aren't immediately valid for a lot of things because items are calibrated differently.
Some US people can speak better to the US specifics and outlook