"It's over," Damien Viel tweeted on Sunday, thanking his Twitter team in France, which he led for the last seven years.
Viel confirmed he was leaving Twitter in a separate message to Reuters.
He didn't elaborate on the circumstances of his departure and declined to say how many people Twitter employed in France either before or after Musk's takeover of the company last month.
Labor laws in France prevent companies from firing permanent employees overnight. France-based companies have to formally tell staff they aim to dismiss about their plans ahead of time, typically via a letter with acknowledgement of receipt.
They also have to respect certain notice periods, depending on the nature of the dismissal and the seniority of the staff.
For dismissals affecting several employees within 30 days, companies must also follow certain procedures, which entail informing staff, staff representatives and the ministry of labor.
This means the whole process takes at least several weeks and up to several months.
A spokesperson for Twitter in France hasn't replied to messages seeking comment since Musk's takeover in October.
Twitter has had a bumpy ride since the world's richest person took charge. It has cut staff globally by about half, while Musk has raised the possibility of the social media platform going bankrupt.
He recently told employees to consider whether they wanted to stay on "working long hours at high intensity" or take a severance package of three months pay.
Twitter owner Musk, incidentally, has reinstated the Twitter account of Donald Trump, which was suspended indefinitely following the January 6 mob attack upon the U.S. Capitol, done to try to prevent the formal declaration that Joseph Biden had won the presidency.