The rise in the yen and some mixed Japanese economic data nudged the Nikkei down 0.7 percent. MSCI's broadest index of Asia-Pacific shares outside Japan eased 0.1 percent.
In the currency market, the dollar index, which measures the greenback versus a basket of six major rivals, rose to as high as 98.189 overnight, its highest level since May 2017.
The remarks underscore the challenge major central banks face as they struggle to battle growing overseas headwinds to their economies with a dwindling policy tool kit.
Trump threatened to impose tariffs on $11 billion worth of European Union products, heightening tensions over a long-running transatlantic aircraft subsidy dispute.
U.S. stock futures tacked on 0.4 percent in Asian trade, on hopes of brisk spending by U.S. consumers on so-called Black Friday and Cyber Monday sales.
Crafted by UAE-based Jada Dubai in collaboration with Passion Jewellers, the Passion Diamond shoes features gold and hundreds of diamonds, including two imposing D-flawless diamonds of 15 carats each.