"For me, the draw doesn't really matter, because I have played a top-10 opponent one time in my career here, which was Milos Raonic, in 2017," Zverev said.
The German emphasized that his historical difficulties stem from his own performances rather than opponent quality.
"All the other years, I have lost to players outside of the top 10. So it's really about me," he said.
Other Thursday Action
American sixth seed Taylor Fritz defeated compatriot Patrick Kypson 6-2, 6-2, 7-5 to secure a third-round berth.
Fifth-seeded Australian Alex de Minaur also progressed in straight sets against France's Adrian Mannarino.
Wildcard entrant Grigor Dimitrov returned from a pectoral injury sustained during last year's tournament, setting up a match against Jakub Mensik on Court One.
"I'm very grateful to Wimbledon for trusting me with a wildcard. That shows appreciation, and I felt a lot of love out there," Dimitrov told the BBC.
"At the same time, I don't want to let people down," he added.
The winner of the match between Maya Joint and Alexandra Eala will face either Swiatek or Pliskova in the round of 32.
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2022 champion Elena Rybakina is scheduled last on Centre Court against Caty McNally.
