Ibrahimovic will miss the first-leg due to suspension but will be available for the clash at the Camp Nou. PSG enter the last eight for the first time since 1995, when they defeated Barcelona 3-2 on aggregate in the quarter-finals.
UEFA Champions League Quarter-Final Draw
*Matches take place on 2/3 and 9/10 April.
Nine-time European champions Real Madrid host Galatasaray with Hamit Altintop and Wesley Sneijder returning to the Santiago Bernabeu. The last time these two sides met in 2001, Madrid won 5-3 on aggregate.
Italian giants Juventus meet German league leaders and 2012 runnersup Bayern Munich while debutants Malaga will play Borussia Dortmund.
This is the first time since 1995-96 season that no Premier League team has made it to the last eight.