But Osaka was too strong for the previous ninth in the world rankings.
Petkovic improved in the second set and also managed a break to 4: 2.
But the defending champion of the Australian Open came back immediately and, with her dominant style of play, grabbed the second round.
“She never gave up a ball, and then I didn’t,” said Osaka, who disenchanted Petkovic despite her strong service rate of over 70 percent.
Zverev puts the lid on – Germany beats the USA