Katie McCabe and her Arsenal team-mates will need to see off the challenge of Real Madrid in the next step of their quest for Champions League glory.
Victory over the Madrid side would put Arsenal into the semi-finals of this year's tournament, where they would play either Bayern Munich or Lyon.
Chelsea and Manchester City have been drawn against each other in the last eight.
City had been initially paired with Barcelona in Friday’s draw in Nyon, but with no team able to face a side they had played in the group stage, they were instead handed an all-English tie against the Women’s Super League leaders.
Chelsea beat City 2-0 in their WSL match in November.
The winner of Chelsea and Manchester City will take on either Wolfsburg or holders Barca.
Arsenal won the Women’s Champions League in 2007, while Chelsea were runners-up in 2021 and City have twice reached the semi-finals, but not since 2018.
Chelsea and Arsenal had qualified top of their respective groups, so were seeded, while City finished second behind Barcelona.
Real Madrid were runners-up in Group B, six points behind Chelsea, who won all of their matches.
Arsenal topped Group C, two points ahead of Bayern, having recovered from a 5-2 defeat in Germany in their opening game.
City finished level on points with Barcelona in Group D, but dropped into second place after a 3-0 away defeat in their final fixture.
The first leg of the quarter-finals will be played on 18 or 19 March, with the second legs set for 26 and 27 March, when Chelsea and Arsenal will both be at home.
The semi-finals will also be played over home-and-away legs, first on 19 and 20 April, then concluding the following week.
The 2025 Women’s Champions League final will be held in Lisbon, Portugal on 24 May.