"It is possible, although one or two other companies are interested and I would not enter an auction," the 83-year-old, who is on trial in Germany accused of bribery, told the Daily Express newspaper on Saturday.
"Our company has been a very good investment for CVC and it would be a very good investment for me or anyone who owned it," he added.
"You can make money from it, so it would not be a problem for me to find financial backers. I run it now but it wouldn't make any difference. It just means I would have to buy the shares."
London-based private equity firm CVC are the largest shareholder in Formula One with a stake of around 35 percent.
Recent reports have indicated that John Malone's Liberty Global Plc and Discovery Communications Inc are in discussions with CVC and Lehman Brothers Holdings to buy a 49 percent stake in the business.
CVC may also contemplate an initial public offering of Formula One, but that would be unlikely before the conclusion of Ecclestone's trial in Munich.
CVC said in November last year that Ecclestone, who has acknowledged that a conviction in Germany would force him out of a business in which he is also a five percent stakeholder, would be fired if he was found guilty of wrongdoing.
However, the Briton indicated on Saturday that it might be difficult to oust him.
"I have a contract with the company, not the shareholders." Ecclestone told the Express. "I have seen some rubbish about being pushed out but CVC have been super-supportive through my troubles."
- Investment & Company Information