South Korea's benchmark Kospi ended 0.16 percent higher, or 3.2 points, at 1,974.46. Hong Kong's Hang Seng was up 0.56 percent as of 3:10 pm local time.
Chinese shares regained their footing to trade positive, with the Shanghai composite closed up 0.61 percent, or 19,76 points, at 3,261.49 while the Shenzhen composite finished up 0.394 percent, or 8.35 points, at 2,129.85.
U.S. markets were shut on Thursday for Thanksgiving, while major retail outlets opened their doors for so-called "Black Friday" sales, which heralds the start of the festive season shopping.
The dollar index, which tracks the greenback against a basket of currencies, remained near a 14-year high at 101.62.
The dollar has been on a tear ever since Donald Trump's surprise presidential election victory on November 8. A Trump administration or "Trumponomics" was expected to boost fiscal stimulus and inflation in the U.S. The dollar's climb had spurred a selloff across emerging markets recently, dubbed a Trump tantrum.
"Even though its a little bit surreal that [Donald Trump is] president, folks have accepted the fact that he is there and sentiment seems to be shifting toward a comfort level that he is going to initiate these stimulative measures that he's talked about," Frank Troise, managing director at Leonteq Securities in Singapore, said to CNBC's "The Rundown."
Moreover, the recent strong economic data out of the U.S. and rising market expectations for a Fed hike in December are also helping to drive the greenback higher.
The People's Bank of China set the yuan mid-point fix at 6.9168 against the dollar, compared with the currency pair's last close at 6.918. The dollar/yuan was trading at 6.9153 as of 2:22 pm HK/SIN at a nearly eight-month low.