FA Cup holders Manchester City were drawn away at Newcastle in the quarter-finals on Wednesday night.
Sheffield United will host Arsenal, while Chelsea travel to Leicester after Frank Lampard team beat European and World champions Liverpool on Tuesday night.
The other last-eight tie will be between Norwich and the winner of Derby versus Manchester United, who play on Thursday night.
FA Cup quarter-final draw
Sheffield United vs Arsenal
Newcastle vs Manchester City
Norwich vs Derby County or Manchester United
Leicester vs Chelsea
Matches will be played on the weekend of March 20th-22nd.