Dokic, representing Australia at Fed Cup for the first time since 2000, had a 6-0, 6-3 win over Lee Jin-A. Samantha Stosur defeated Lee Ye-ra 6-2, 6-4 and Casey Dellacqua and Rennae Stubbs combined to win the doubles 6-0, 6-2.
"I could have gone to Europe or America but I made it very clear I wanted to play Fed Cup and I would always make myself available again for Australia, just like I did before,'' Dokic said. "There was no way for me to miss this opportunity to play again.''
In the other Group B match, Tamarine Tanasugarn led Thailand to a 3-0 win over Taiwan.
In Group A, India's chances were reduced when No. 27-ranked Sania Mirza was forced to withdraw with a torn abdominal muscle ahead of the matches against New Zealand. The New Zealanders won 3-0, while Indonesia had a 2-1 win over Uzbekistan.
The winning teams will face off to determine which country advances to the World Group II playoffs in April.
Dokic leads Australia in Fed Cup win over SKorea
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