Joining the US system while coming from a French university

While there may be a few, very rare exceptions, in general the answer is no. Private US colleges will in almost all cases require that prove you have the financial ability to pay all college costs before they will consider your application. Public US universities do not offer FA for International students.

In addition , you wont be able to get a US student Visa unless you can prove you have the money to pay for your first year of college here.

USC"s website has more information, and its rules are typical of colleges in the US.
The following is copied from the USC linked web page below

"The US government requires all international students to provide proof of the ability to pay tuition and living expenses for the first academic year. Along with your application for admission, you must submit the Financial Statement of Personal or Family Support, accompanied by documentation of available funds (such as savings deposits, checking accounts, investment portfolios, or a signed bank letter verifying the ability to pay educational expenses). Documentation may also include proof of any scholarships or fellowships you have received or expect to receive."

“Although you will not qualify for need-based financial aid if you are not a US citizen or permanent resident, you may be eligible for merit scholarships.
Please note: You will not be able to pay for the full amount of your educational expenses by working while you are in the United States.”

https://admission.usc.edu/apply/international-students/#/what-is-an-international-student