Forging a rescue for Cyprus has been more difficult than elsewhere because "no one wants to bail out a bunch of Russian criminals," Bill Browder, chief investment officer of Hermitage Capital Management, told CNBC on Thursday.

"About 10 years ago, Russia took over the Cypriot banking system," he said. "There's a tax treaty between the two countries, and as a result, Russian companies, Russian oligarchs keep their money in Cyprus and use Cyprus banks."