TL;DR: French bank fails to close an account despite having all the necessary paperwork and continues charging fees. Is there anything we can do (such as complaint to some higher authority)? Longer version below.
My cousin is from the US and went to France for a year as an ESL teacher. For this she had to open a French bank account to pay her bills, get her pay and so on.
In March, she filed the paperwork necessary to close the account on May 31st, then left the country during May. At the start of June, the account was charged the monthly account fee and went into overdraft, so they couldn't close it despite the fact that the account should have been closed already.
After that, my cousin has sent them all the paperwork they required multiple times and the account is still not closed. Latest development is that they wired all the money out in preparation for closing, but failed to actually close the account, and so once again they charged the monthly account fee and sent it into overdraft, precluding it from closing.
Is there anything my cousin can do to make them finally close the account?