Lisicki had no trouble with the Slovakian or the 42 degrees Celsius heat on Pat Rafter Arena, winning 6-3, 6-4 in 89 minutes.
Lisicki was never in any trouble against Rybarikova and now meets Swiss player Stefanie Voegele in the second round.
Voegele progressed when she beat American Madison Keys 6-4, 6-3.
Meanwhile, Japan’s evergreen 43-year-old Kimiko Date-Krumm defeated wildcard Olivia Rogowska 6-3, 7-5, while Elina Svitolina beat Varvara Lepchenko 6-3, 6-3.
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