Tsonga also made the long trip, but exited in the first round to fellow Frenchman Michael Llodra.
Tsonga advanced when Michael Llodra retired from the all-French match after dropping the first set 7-6 (11-9).
Elsewhere, Tomas Berdych , the No. 7 seed looked in good touch as he dispatched France's Michael Llodra 6-2 6-3 6-3.
CNN: Federer breaks grand slam record as Djokovic marches on
In Saturday's semi-finals, Agassi will meet eighth seed Max Mirnyi of Belarus, who beat Michael Llodra of France 6-4, 7-6 (4).
Elsewhere, Juan Martin Del Potro eased past Colombia's Alejandro Falla 6-2 6-2 to set up a third round clash with France's Michael Llodra.
Michael Llodra and Julien Benneteau beat Fernando Verdasco and Feliciano Lopez 6-1 6-2 6-7 (6-8) 7-6 (7-5) to give France an unassailable 3-0 lead.
Michael Llodra beat Fernando Verdasco 6-7 (5-7), 6-4, 6-3, 7-6 (7-2) after Gael Monfils prevailed 7-6 (7-3), 6-2, 4-6, 5-7, 6-4 against David Ferrer.
Del Potro, who lost to world No. 3 Roger Federer in the Rotterdam final last weekend, will face 2010 champion Michael Llodra in Sunday's final.
Serbia's Novak Djokovic , who ended Murray's run in Indian Wells, also went through to the fourth round with a 6-4 6-1 win over Michael Llodra.
Earlier, France's Gilles Simon defeated James Blake of the United States 3-6 6-1 6-4, while Blake's compatriot Robby Ginepri progressed with a 6-4 6-4 victory over France's Michael Llodra.
The 6ft 5in right-hander, who hit the fastest serve of the tournament at 143mph in Thursday's win over 22nd seed Michael Llodra, is now projected to enter the top 100.
Verdasco raced through his night match with Ivan Sergeyev 6-1 6-2 6-2 and 30th seed Juan Monaco came from two sets behind to edge past Frenchman Michael Llodra 3-6 3-6 7-6 6-1 6-3.
The U.S., who are without Andy Roddick or Mardy Fish, will look to the Bryan brothers (Bob and Mike) to edge them into the lead tomorrow as they face Michael Llodra and Julien Benneteau.
The American gold rush at SW19 continued Saturday as brothers Bob and Mike Bryan won their first Olympic title with a 6-4 7-6 victory over French second seeds Jo-Wilfried Tsonga and Michael Llodra in the men's doubles final.
The 19-year-old, the youngest player left in the men's singles, swept to a 6-3 7-5 6-2 victory over the Ecuadorian to set up a fouth round match against Michael Llodra after the Frenchman beat Simone Bolelli in straight sets.
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