This represents an acid test for Germany coach Joachim Loew with his side heavily criticised for below-par performances in this edition.
A place in Tuesday's semi-final against either Brazil or Colombia in Belo Horizonte is at stake.
"Didier Deschamps has turned France around since 2010 and we're looking forward to another classic," said Loew who took charge after the 2006 World Cup.
Their 4-0 hammering of Portugal in their opening group match confirmed their status amongst the world's elite, but a series of unimpressive performances have seen Loew's Germans receive heavy criticism.
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Former captains Michael Ballack, Oliver Kahn and Lothar Matthaeus have all questioned Loew's selections with playmaker Mesut Ozil struggling and centre-backs Jerome Boateng and Benedikt Hoewedes being played out of position as wing-backs.
"That was the worst performance for years," Ballack reflected after the Algeria match, while Kahn was equally unimpressed: "This line-up isn't working any more".
Loew has a contract with the German FA (DFB) until June 2016, but a quarter-final exit will put him under pressure to resign despite steering his side to the semi-finals of the last three major tournaments.