The legendary auto executive, who has been locked in a Tokyo jail for nearly two months on charges of financial misconduct while chairman of Nissan, has lost the backing of Renault's biggest shareholder, the French state.
French Economy Minister Bruno Le Maire duty French news channel LCI on Wednesday that it was time for new leadership at Renault.
"We want a meeting of the Renault executive board in the next few days," Le Maire said. "We're asking for new long-term leadership," he added.
Ghosn, 64, was released on Friday for a second time since his arrest on November 1
The alliance was founded in 1999 and now produces one out of every nine cars sold worldwide, employing 450,000 people. Ghosn's arrest and subsequent indictment have inflamed tensions within the group. Nissan and Mitsubishi both removed him as chairman, while Renault stood by him.
With its leader in a protracted legal battle, the biggest risk to the alliance is a lack of coordinated investment at a time of rapid change for the global auto industry.
"Deepening of the alliance can take place, which is really unfortunate," said Demian Flowers, an autos analyst at Commerzbank, last week. "You need to make bold investments in order to survive in the current context."
Le Maire said it was important to think of the hundreds of thousands of workers who need long-term leadership. There would be several candidates, he added.
Nissan and Greg Kelly, a former director at the firm who was arrested along with Ghosn but has since been released on bail, have also been indicted on allegations of financial misconduct. Kelly denies any wrongdoing.
Daniel Shane and Charles Riley contributed to this article.