"It happened fast. I was trying to not think about it too much, not psych myself out," Crawford said.
"Right after I won, on the on-court interview I was like shaking, and then in the locker room I was like sitting for just like a little bit.
"But yeah, this is awesome."
Crawford is playing in just her sixth WTA Tour event and her strong showing at an event which has seen the top seeds succumb to injuries should bring her inside the top 100 for the first time.
The American, who spent time growing up in China and speaks fluent Mandarin, has yet to drop a set in Brisbane after dispatching another rising talent Belinda Bencic of Switzerland in the second round.
She faces either twice Australian Open champion Victoria Azarenka or U.S. Open finalist Roberta Vinci for a place in the final.
Germany's Angelique Kerber also booked a semi-final spot in Brisbane as she beat Russia's Anastasia Pavlyuchenko 6-4 6-4.
At number four, the German is the best ranked seed remaining after injury robbed the tournament of Maria Sharapova, Simona Halep and Garbine Muguruza.
Kerber said she wasn't surprised by the glut of withdrawals ahead of the year's first grand slam, the Australian Open, which starts on Jan. 18.
"We had two months off. It's not so easy to start the year and to come back," she said.
"The most important thing to think is to start easy, not playing the first matches 100 percent because I think you need time with the weather, jet lag, everything."
In the men's draw, big-serving Canadian Milos Raonic battled through to the last eight with a 6-7 (2) 6-1 6-4 win over Croatian Ivan Dodig, but Belgian sixth seed David Goffin departed in three sets against Frenchman Lucas Pouille.
Swiss Roger Federer gets his Brisbane campaign underway in Thursday's night session when he takes on Germany's Tobias Kamke.
(Writing by Patrick Johnston in Singapore; editing by Amlan Chakraborty)
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