On Wednesday he will need to break new ground again if he is to keep alive his Wimbledon dream and beat eight-times champion Roger Federer for the first time.
Sixteen minutes, one unforced error, all six games won and just five points dropped in the second-quickest set he has ever played at the All England Club.
Federer will next play another Frenchman, Gael Monfils, or South African eighth seed Kevin Anderson.
"If Rafa gets to the finals and plays Roger, I can assure you he will have his attention", declared Agassi, speaking to Yahoo Sports at a Lavazza event at Wimbledon.
"It was good to have that, you are hearing all these things and thinking, "I could be there one day", Draper said after his own straight-sets win over Henry van der Schulenburg.
Wherever he ends up playing, Djokovic, the 2011, 2014 and 2015 champion, will be favourite to see off Nishikori for a 14th time in 16 meetings. The 27-year-old Canadian, runner-up to Andy Murray in 2016, triumphed 6-3, 6-4, 6-7 (5/7), 6-2. Like previous year, I received the information that they can't reschedule my match on the other court because of the tickets that are presold. The only different thing is that it's Federer in front of me, and he's a really good opponent.
Nadal reached the quarterfinals of Wimbledon for the first time since 2011 after defeating Jiri Vesely in a 6-3, 6-3, 7-5 victory on Monday.
Nishikori overcame a right arm injury to reach his first Wimbledon quarterfinal with a gritty 4-6, 7-6 (7/5), 7-6 (12/10), 6-1 win over Latvian qualifier Ernests Gulbis.
An eight-time victor of the men's singles at the All England Club, Federer was an overwhelming favorite against the 22nd seed and never looked like falling victim to a huge upset. A potential route to the final consists of Juan Martin Del Potro then Novak Djokovic, although there is an omen in Nadal always making the last two here once getting to the quarters.
Mannarino was nevertheless able to frustrate his illustrious rival in the third set, even threatening to break for a 5-3 lead.
The All England Club has come under increasing pressure to rethink its 2pm (1300GMT) start time for Sunday's men's singles final with the football showpiece in Moscow kicking off at 4pm in the United Kingdom (1500GMT). No. 14 Daria Kasatkina, 2017 French Open champion Jelena Ostapenko vs. Dominika Cibulkova, and No. 13 Julia Goerges vs.