Next for Fritz will be Lorenzo Musetti, who reached his first Slam quarter-final by surging past lucky loser Giovanni Mpetshi Perricard earlier in the day.
The Italian 25th seed struggled against the big-serving Frenchman in the first set before adapting his approach to win 4-6 6-3 6-3 6-2.
Defeat ended an impressive run for Mpetshi Perricard, who was attempting to become the first lucky loser, man or woman, to reach the singles quarter-finals of a Grand Slam.
An emotional Musetti said after his victory: “It is a really phenomenal day for me.”
Playing on his 21st birthday, Mpetshi Perricard entertained the court two crowd in the early stages with trick shots and huge serves.
He lost in the final round of qualifying before being handed a reprieve after withdrawals from the main draw, and then made eye-catching progress – until Musetti had too much for him.
The 22-year-old Musetti said: “I’ve been dreaming of this moment since I was a kid. I always had a really beautiful family that always supported me.”
The win continues an impressive grass-court swing for Musetti, who was a runner-up to Tommy Paul at Queen’s Club last month.
Australian Alex de Minaur, the ninth seed, booked his spot in the quarter-finals for the first time with a 6-2 6-4 4-6 6-3 win against France’s Arthur Fils on Court One.