Australian all-rounder Mitchell Marsh had also pulled out from IPL 2021.
Virat had scored two half-centuries in the first two ODI matches against England.
England opener Jason Roy has been named as his replacement.
In 2021, Delhi Capitals had made it into the finals but had to face defeat against Mumbai Indians.
Harmanpreet Kaur recently played a five-match ODI series against South Africa in Lucknow.
Mumbai's team is the most successful team in the history of IPL so far.
The third and decisive match will be played on 28 March.
Batting first, India scored 336 runs for 6 wickets in 50 overs.
India is leading 1-0 in the series after winning the first ODI.