Petkovic, a former world No. 10, needed just 58 minutes to breeze past Serbia's Bojana Jovanovski in Day 1's headliner, 6-3, 6-1.
Her next opponent on the hard courts of Crandon Park will be 10th-seeded Frenchwoman Marion Bartoli.
China's Peng Shuai, Romanian Irina-Camelia Begu, Kiki Bertens of the Netherlands and Croat Ajla Tomljanovic also advanced Tuesday.
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ATLANTA, June 17 (UPI) --Former NBA all-star Allen Iverson's ex-wife has accused him of abducting their five children.