It was her second victory against Savchuk, who beat her in their first encounter two years ago in Antwerp.
Hantuchova, last year's finalist, got a bye in the first round and will face the winner of Thursday's match between Peng Shuai of China and Chan Yung-Jan of Taiwan.
Also advancing to the last eight were second-seeded Patty Schnyder of Switzerland, fifth-seeded Francesca Schiavone of Italy, and Marta Domachowska of Poland.
Schnyder eliminated China's Yuan Meng 6-2, 7-5, and will take on Domachowska who beat American Jill Craybas 6-3, 6-7 (5), 6-4. Schiavone, who beat Akgul Amanmuradova of Uzbekistan 6-3, 6-2, will play the winner of Thursday's match between fourth-seeded Nadia Petrova of Russia and Tatiana Garbin of Italy.
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