U.S. billionaire Wilbur Ross told CNBC that he was confident his investment in Greece's third-largest bank would work out, even as the country appears to be edging closer to defaulting on its debt.

Ross, well known for his investments in distressed assets, is one of a group of investors who pumped 1.3 billion euros ($1.47 billion) into Greece's Eurobank Ergasias last year.