Williams, who has a kind run through to the semi-finals, will next take on Camila Giorgi of Italy. Coming into the tournament seeded 25, Williams has returned to form in spectacular fashion. In Giorgi, Williams was facing an opponent who was young (26), strong and playing, perhaps, the best tennis of her career. "But it was tougher than the scoreline to be honest".
"I don't know what I did", Williams said in a post-game press conference. So it's really cool.
"It was great matches", Giorgi said in her postmatch news conference.
Kerber is through after a straight-sets win over Russian youngster Daria Kasatkina.
Germany's Goerges came from a set down on Court No 1 to defeat her friend and occasional doubles partner Kiki Bertens, the Dutch No 20 seed.
With Angelique Kerber also having made the last four, it is the first time two German women will play in the Wimbledon semi-finals since 1931.
Williams avoided a major upset on Tuesday as the former world number one battled back to beat unseeded Camila Giorgi 3-6, 6-3, 6-4 in a Centre Court thriller.
Williams, a 23-time major victor, is hoping to join a select group of women who have won Grand Slams after becoming mothers.
In the men's singles, Juan Martin Del Potro became the final player to take his spot in the last eight, narrowly edging Gilles Simon 7-6 (1), 7-6 (5), 5-7, 7-6 (5) to set up a quarter-final date opposite Rafael Nadal.
Williams is looking for her eighth Wimbledon title and has established herself as the big favorite once again, with the top-10 seeds all eliminated.
But there's little point in recommending this approach, Navratilova added, because so few female players have a varied arsenal at their command.
"It never happened to me that the umpire changed the decision", Cibulkova said. "I think everyone here has a great chance so you have to take it", Goerges said.
Jelena Ostapenko advanced to a second consecutive Wimbledon quarterfinal with a 7-6 (4), 6-0 victory over Aliaksandra Sasnovich.
Even when Serena was on the brink of losing the set, she managed to hit a 122 miles per hour serve, her fastest of the tournament.
Bertens followed her shock third round success against five-time Wimbledon champion Venus Williams by claiming the scalp of Czech seventh seed Pliskova.
This is unchartered territory for 29-year-old Goerges.