Petkovic, who reached the quarter-finals in New York in 2011, did not let herself be disturbed by a break at the beginning of the second set and pulled off her game.
Most recently, the former world number nine, who also works as a TV journalist, won a tournament again after six years in Cluj-Napoca, Romania.
She has now confirmed the positive trend in New York.
Highlights: Petkovic doesn’t give Begu a chance