However, hopefully you have been reporting the existence of this account annually by filing FinCen 114.
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I just received this money from an inheritance. Should I report it while it is sitting in France until I transfer it?

I believe it would be reportable on a  2017 FinCen 114 due April 15, 2018 if at any time in 2017 the account value exceeded $10,000.  Any interest or dividends earned while in your name would be reported on your 2017 personal income tax return, even if you do not receive a tax document.