The rumours were triggered by well-known F1 correspondents including Bianca Garloff, of the German magazine Sport Bild.
"Just heard that Eric Boullier might have resigned from his job. He does not want to be responsible for the chaos there anymore," she said, adding that the information came from a Renault source.
And Anthony Rowlinson, a British journalist for F1 Racing magazine, said he has also heard that Frenchman Boullier is heading to Force India.
Rowlinson said his source is the "little bird who placed Sergio Perez with Force India".