Real Madrid, who are fourth on 43 points, host local rivals Getafe at the Bernabeu on Sunday.
Elsewhere in La Liga, Getafe and Sevilla drew 1-1 while struggling Granada beat sixth-placed Rayo Vallecano 2-0.
Atletico, which took a 3-0 lead to Getafe for the second leg, claimed a goalless draw to progress.
Elsewhere, Iker Munian's late goal handed Athletic Bilbao a much-needed victory over Valencia while Levante and Getafe drew 0-0.
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At the wrong end of La Liga, Getafe, Xerez and Tenerife will all do well to avoid the drop.
Getafe moved up to ninth, winning 3-1 at second-bottom Real Mallorca thanks to two late goals from striker Adrian Colunga.
The 22-year-old Spanish international collapsed after jogging back towards his own goal 35 minutes into the Primera Liga match against Getafe.
Jensen has previously been an assistant to former Danish star Michael Laudrup both with the Denmark national team and Spanish side Getafe.
Relegation-threatened Sporting Gijon went down 2-0 at Getafe while Espanyol came back from two goals down to earn a 2-2 draw against Real Sociedad.
Villarreal won 2-1 at home to Malaga, Valladolid moved away from the relegation zone with a 4-0 win over visiting Deportivo La Coruna and Getafe beat Athletic Bilbao 2-0.
In Saturday's other La Liga fixtures Malaga fought back from a goal down to beat Getafe 3-1, while Rayo Vallecano clawed back a two-goal deficit to beat 10-man Racing Santander 4-2.
David Villa and substitute Cristian Tello scored in the second half before Getafe hit back through striker Alvaro Vazquez, but then Andres Iniesta and defender Gerard Pique netted in time added on.
In earlier matches, European-chasing Getafe were held to a 0-0 by a Racing Santander side who played almost the entire second half with 10 men after Jose Moratan was dismissed for two bookings.
Jarque's death comes two years after that of Sevilla and Spain defender Antonio Puerta, who suffered multiple organ failure in hospital, three days after a cardiac arrest during a league match against Getafe.
To make matters worse, arch rivals Barcelona recorded their fourth straight win of the season on Saturday -- running out 4-1 winners against Getafe -- to open up a gap of eight points over Real.
At a La Liga match between Getafe and Deportivo La Coruna in early 2013, the referee sent off a home player early on, and was hounded by home fans for the rest of the game.
Earlier, Osasuna moved four points clear of the relegation zone with a 1-0 win at home to eighth-placed Getafe, while Athletic Bilbao all but secured another year in the top flight with a 2-1 win over bottom club Mallorca.
Pellegrini himself labeled the last 32 first leg shock a "disgrace" and received further disappointing news on Wednesday as star signing Cristiano Ronaldo was ruled out of the weekend league match against Getafe and the midweek Champions League clash with AC Milan.
Garrido has been appointed despite "The Yellow Submarine" being linked with former Getafe coach Michael Laudrup, with the team 10th in La Liga after last year's impressive fifth placing and having been knocked out of the Copa Del Rey by second division Celta Vigo.
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