Marin Cilic was crowned Queen's Club champion for the second time as the Croatian stunned Novak Djokovic with a dramatic fightback.
Novak Djokovic reached his first title match for a year with a straight sets win over Jeremy Chardy at Queen's Club.
Djokovic is through to only his second semi-final of a troubled campaign as he hunts his first title in 2018.
Djokovic's caution comes as he sits a lowly 22nd in the ATP rankings.
With Wimbledon starting on July 2, Novak Djokovic is desperate to improve his lacklustre 14-8 record in 2018.
Stanislas Wawrinka, the three-time Grand Slam champion had an obliging opponent in South Africa-born Norrie, who was given a wild card entry after rising to 79th in the rankings.
Djokovic, beaten by Rafael Nadal in the 2008 Queen's final, traditionally opts against playing a pre-Wimbledon event.
Novak Djokovic is facing the gravest crisis of his career after a shock French Open defeat to Italian journeyman Marco Cecchinato left him contemplating missing Wimbledon to rebuild his game and reboot his state of mind.
Marco Cecchinato, who had never won a Grand Slam match in his career before the French Open 2018, will face Dominic Thiem for a place in Sunday's final.
Djokovic eased past Spanish veteran Verdasco 6-3, 6-4, 6-2 and will play in the last eight at Roland Garros for a record 12th time.
World number 38 Khachanov has now lost at the last-16 stage at Roland Garros twice in a row, while Zverev ended his wait for a maiden major last-eight appearance at the 12th attempt.
Novak Djokovic has made the last 16 of a Slam for the 43rd time, tying Jimmy Connors on the all-time list, second only to Roger Federer's tally of 60.
The Serbian has reached the second week at Roland Garros for the last nine years in a row.
Djokovic, the 2016 Roland Garros champion and former world number one, is seeded 20 this year after struggling to rediscover his best form after returning from a right elbow injury.
Rafael Nadal was far from happy with the clay on Philippe Chatrier, the court where he has only lost twice in his career.
Novak Djokovic cruised through to the French Open second round in straight sets.
The top seed is the overwhelming favourite to lift a 17th career major at Roland Garros after claiming his 11th titles on clay in both Monte Carlo and Barcelona this spring as well as an eighth trophy in Rome.
After almost two decades of growing pains, Roland Garros, the historic but claustrophobic home of the French Open, can finally breathe easy -- thanks to the 'greenhouse effect'.