For obvious safety reasons, no one else but the customer may close his/her bank account.

You should call your bank counsellor or preferably go to the agency prior to leaving France. Indeed verification must be made on your identity as well as your most recent transactions (online pending payments, expected debits, etc.). 

Trying to close your account remotely might be more complicated.

On the other hand, keeping your account open will generate accrued handling fees, which you must not ignore. Indeed this kind of debt can arise years later in your professional life when you have totally forgotten about it.

If you have your bank account at BNP, you can log in to your personal account via 

Then you can email your counsellor.

Or, you can contact your counsellor direcly by regular email, but it is less secure.

At LCL: 

At Société Générale: