PROVIDENCE — Curt Schilling told a Boston radio station Thursday that potentially having to sell the blood-stained sock he wore while helping to pitch the Red Sox to their 2004 World Series victory would be part of having to pay for mistakes related to the bankruptcy of the video game company he founded.

Schilling personally guaranteed millions of dollars in loans to finance 38 Studios in Providence, and listed the sock and other baseball memorabilia as collateral to Bank Rhode Island in a filing last month with the Massachusetts secretary of state’s office.

“I put myself out there,” he told WEEI-AM. ‘‘I’m obligated to try and make amends and, unfortunately, this is one of the byproducts of that.’’

The game company, lured from Massachusetts to Rhode Island with a $75 million state loan guarantee, filed for bankruptcy protection in June.

Schilling guaranteed as much as $9.6 million in loans from Bank Rhode Island and $2.4 million in loans from Citizens Bank related to 38 Studios, the Globe reported Thursday.

The sock is on display at the National Baseball Hall of Fame and Museum in Cooperstown, N.Y. Schilling also listed a baseball hat believed to have been worn by New York Yankees great Lou Gehrig and his collection of World War II memorabilia, he said is being held at the National World War II Museum.

Richie Russek, owner of the Grey Flannel Auctions in Westhampton, N.Y., who is featured on the Discovery Channel series ‘‘All Star Dealers,’’ estimated the bloody sock could sell for $50,000 to $100,000, but stressed there is nothing comparable that has ever been auctioned off. He said the Gehrig cap would probably fetch at least $150,000.

“I have debt,” Schilling told station. “I have obligations. I put my name to it.”