PARIS—Bankers and politicians warned against a plan inspired by French former football star Eric Cantona to spark a bank run next week, saying that such a move would be counterproductive.

The plan—which calls on depositors to remove their money from banks on Tuesday—has attracted increasing attention in recent days, drawing comments from French financial leaders.

"The recommendation to withdraw deposits is totally irresponsible," said BNP Paribas CEO Baudoin Prot. It also went "completely against anything that could assure the functioning of the economy," he told reporters Thursday.

Mr. Cantona said in an October video interview that regular means of protest, such as street demonstrations, had become ineffective. Instead, he said, it would be better for a large number of people to withdraw their money from banks at the same time. "The system is built on the banks," Mr. Cantona said in an Internet video. "So if you bring those down, the whole system collapses."

Geraldine Feuillien, a screenwriter in Belgium, helped to set up a website and Facebook page to promote the idea.