Li said she was adopting a philosophical approach to her match against Serena.
"In China we say, 'if you have a tough time and then you return back, maybe you have good luck for after'," she said.
"So I still believe that."
And, Zheng, who made a poor start to this year's Australian Open, losing the opening set of her first three matches, has been steadily growing in form and confidence.
"I feel a bit calmer than the last time I made a semi-final," Zheng said.
"Now, I feel like whoever makes the last four has a chance of winning it."
China's Li Na is ecstatic after defeating Venus Williams in the quarter-final
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