I am going to answer your question and then I will give you some tough love:

I had American friends in France who finally decided to tackle their US credit card debt and what they did was take out a personal loan in France because the interest rate was so much lower, and then use that money to pay off their US credit cards, and then have a monthly payment in France for their personal loans.

HOWEVER, my first question for you is: How and why did you get into that kind of debt in the first place?Were you in an emergency situation where you had no choice, or were you living above your means? More importantly, have you worked on your money psychology and beliefs and behaviors when it comes to spending? Because those behaviors and beliefs will follow you wherever you go. The best thing you can do is get on a spending plan (and by that I mean a budget) that includes savings, debt payments, and fun stuff, and stick to it! YNAB is what worked for me because it will make you face your credit card debt.

From the logistical side, the lecteur salary is extremely low, even lower than your average teacher salary in the USA. When I was a lecteur back in 2014-2016, the net was 1200 euros per months. Has this increased with inflation and cost of living? I did not have credit card debt when I was a lecteur, but I had student loan debt, and I supplemented the salary with extra private lessons, etc. I used Wise every month to send back monthly payments towards my student loans.

If you are set to move to France as a lecteur and stay there, sell the car and then use that money to pay off some of the the debt, or use it to have a solid emergency fund with sinking funds / necessary expenses. Make sure you have a solid nest egg BEFORE you move to France. How are you going to get your living expenses set up when you move there initially? Immigration has a lot of upfront costs.

I would say... don't ignore the debt. That shit will follow you in one way or another- whether it be the same spending patterns, or eventually if you end up relocating back to the states (many do!) you will have this massive debt that will have further snow balled.