Beane joined the A's front office in 1990 as a major league advance scout, rising to general manager after the 1997 season.
Liverpool owner Fenway Sports Group looks set to expand its capital base with the sale of 25% of its stock to RedBall Acquisition Corp.
RedBall and Fenway Sports Group did not respond to a request for comment outside regular business hours.
Billy Beane, of Money Ball fame, has dipped his toes into the world of financial acquisitions and it appears his next target is the Boston Red Sox.
This is would be an awesome move for the fans of the Red Sox's and the city of Boston.
Henry has long wanted to work with Beane.
Beane has long had interest in global soccer, owning a 5 percent share of Dutch club AZ Alkmaar and serving as an investor of second-division English side Barnsley.
But the Oakland Athletics executive, who turned down the Red Sox GM position before Henry hired Theo Epstein in 2002, would focus on Henry's European soccer venture. The A's have remained consistently competitive despite lower payrolls thanks in part to Beane's famous "Moneyball" approach. In recent years, he's voiced his frustration about the franchise's payroll restrictions.