The 22-year-old Pole, who won the French Open title for the third time last month to make it four Grand Slam crowns, has yet to get past the fourth round of the London major.
I felt like I did a very good job," said Swiatek, a former junior champion at Wimbledon.
"I feel really good after Roland Garros (French Open).
"Last year it was my second Grand Slam (at the French Open) and it felt overwhelming.
Zhu saved two set points at 5-0 but Swiatek sealed the first set a game later with a powerful crosscourt forehand winner.
Persons:
Iga Swiatek, China's Zhu Lin REUTERS, Hannah Mckay LONDON, Zhu Lin, Swiatek, Roland Garros, Zhu, Karolos Grohmann, Ed Osmond
Organizations:
Lawn Tennis, Croquet Club, Wimbledon, London, Thomson
Locations:
London, Britain, Homburg