It took Kyrgios just minutes to hit his first underarm serve of the match, with his signature shot coming in his first service game.
In the first game of the second set, the 2016 Atlanta champion hit a screaming tweener mid-rally and encouraged the crowd to keep cheering after he won the point.
With the win, the former world number 13 set up a clash with Cam Norrie.
The current British number two, second only to Dan Evans, is fresh off the back of his first ATP Tour title in Los Cabos, and is now up to number 12 in the Race to Turin.
