Focus is also on the release of key US jobs data due Friday, following a positive set of figures showing the labour market remained healthy but appeared to be softening.
Gold and bitcoin were essentially flat after edging back from record highs earlier in the week.
In closely watched testimony before lawmakers Wednesday, Powell flagged progress on bringing inflation towards the Fed's two percent goal and said borrowing costs could be lowered as a result.
He warned that the battle was far from over, while investors are eyeing a first move in June after their March hopes were scrubbed by a strong inflation report last month.
"If the economy evolves broadly as expected, it will likely be appropriate to begin dialling back policy restraint at some point this year," he told the House Financial Services Committee.
"But the economic outlook is uncertain, and ongoing progress toward our two percent inflation objective is not assured," he added.
While prices have been tempered by the Fed's decision to push rates to a two-decade high, officials have lined up to warn that cutting them too early could erase all their hard work.
The economy continuing to be in rude health has allowed them to maintain that line, and stocks have pushed higher as confidence appears to be returning.
Powell's remarks saw all three main indexes rise on Wednesday, and Asian traders struggled to maintain the positive momentum.
Shanghai and Hong Kong fell even as data showed Chinese exports surged more than forecast in January-February, while Tokyo was weighed by a strong yen as investors ramp up bets on the Bank of Japan soon shiftingaway from its ultra-loose monetary policy.
Singapore, Manila and Wellington were also off.
Sydney, Seoul, Mumbai, Taipei, Jakarta and Bangkok rose, though.
London, Paris and Frankfurt all opened lower.
"Powell stuck to the script. The January inflation blip evidently hasn't shifted the broader calculus much and Chair Powell did little to break from recent Fed commentary," said National Australia Bank's Taylor Nugent.
Jose Torres at Interactive Brokers added that "his positivity concerning the trajectory of inflation amidst confidence that the central bank's current rate is likely at its peak is enough for market participants".
Traders are also keeping an eye on a policy meeting of the European Central Bank later Thursday, which is not expected to see any movement but investors are hoping for some guidance.
- Key figures around 0810 GMT -
Tokyo - Nikkei 225: DOWN 1.2 percent at 39,598.71 (close)
Hong Kong - Hang Seng Index: DOWN 1.3 percent at 16,229.78 (close)
Shanghai - Composite: DOWN 0.4 percent at 3,027.40 (close)
London - FTSE 100: DOWN 0.3 percent at 7,653.28
Dollar/yen: DOWN at 148.00 yen from 149.44 yen on Wednesday
Euro/dollar: DOWN at $1.0894 from $1.0899
Pound/dollar: UP at $1.2737 from $1.2732
Euro/pound: DOWN at 85.54 pence from 85.58 pence
West Texas Intermediate: DOWN 0.1 percent at $79.06 per barrel
Brent North Sea Crude: DOWN 0.1 percent at $82.87 per barrel
New York - Dow: UP 0.2 percent at 38,661.05 (close)
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