"It feels like there is reasonable market share opportunity, given the environment," Schwartz said on a conference call to discuss earnings on Tuesday. For competitors, "unless you're a leader in some of these businesses, I think it is a difficult time to build," he added.

Analysts questioned Schwartz about Goldman's trading business, which reported a 10 percent drop in revenue, and how Goldman will respond to new regulations that will limit its ability to trade and invest its own capital.

Schwartz cautioned that the situation will take time to play out, but said Goldman has enough strength in areas ranging from commodities trading to prime brokerage to maintain a full range of trading businesses.

He also said that the bank is "constantly reviewing" its cost structure as the market environment changes to determine whether Goldman needs to hire or cut more staff. Goldman had 400 fewer employees at the end of the first quarter and operating expenses fell 1 percent.

(Reporting By Lauren Tara LaCapra; Editing by Gerald E. McCormick)