Sky Sports will show the Premier League champions' clash away to the Catalan giants as one of 12 televised round-of-16 ties.
Arsenal club secretary David Miles has admitted he is "pleased" with the Champions League last-16 draw against Monaco.
Manchester City will again face Barcelona in the Champions League round of 16, while Chelsea drew PSG and Arsenal face Monaco.
Chelsea are happy to draw PSG in the Champions League knockout stages once again, says club secretary David Barnard.
Niall Quinn believes victory over Barcelona would be a ‘watershed’ moment for Manchester City in the Champions League last 16.