Housing continues to "get better," he continued. "Housing is really important. Housing has led every recovery or participated in a big way. [Agriculture] is doing relatively well. Energy, who would have ever guessed that we would be potentially self-dependent or self-sufficient [on] energy."
In the policy statement released after the conclusion of the Fed's two-day meeting Wednesday, policymakers repeated that they would not raise near-zero interest rates until unemployment drops to 6.5 percent or lower, provided that the outlook for inflation stays under 2.5 percent.
Bernanke made clear that those thresholds were merely for considering a rate hike, not necessarily a trigger for tightening.
(Read More: US Stocks Seen Lower After Bernanke Statement)
"If rates rise because of an improving economy, even though some business might be disadvantaged in the short run, we really are the success of our customers," Stumpf said. "Good news is good news."
But the bond market isn't waiting. Yields soared Wednesday and into Thursday, while stocks closed sharply lower with the futures pointing to a lower open on Wall Street.
(Read More: After the Fed—What's the Market's Next Move?)
"I'm not a big fan of this much accommodation this late in the game," Stumpf added, "because I think the benefits from it [are] not there. It also helps mask things that should be happening on the fiscal side."
More of the focus will be on Washington, he said, adding that Capitol Hill and the White House need to agree on a deficit-reduction deal and an overhaul of the tax system. "Tax policy in the U.S. at minimum should be neutral to job growth here. At best, it should be positive to job growth here. It is not today."
—By CNBC's Matthew J. Belvedere. Follow him on Twitter