With five Premier League teams in the hat, the draw took place at half-time during City’s clash with Newcastle at St James’ Park – which Pep Guardiola’s team won 2-0.
Man United – who needed extra time to see Norwich City on Saturday, with Harry Maguire scoring late in a 2-1 victory – was fired first and will face Frank Lampard, who beat Leicester City 1-0 on Sunday.
It is a repeat of the 2017-18 FA Cup final, which Chelsea won 1-0 under Antonio Conte.
Arsenal demanded an effort from Dani Ceballos during stoppage time to secure his spot in the final four, the Gunners’ winner against Sheffield United coming just four minutes after David McGoldrick struck a late equalizer.
The semi-final matches will be played behind closed doors at Wembley Stadium on July 18 and 19, with the final scheduled for August 1.