Woakes is the only quick from the England side to feature in all five Tests of the series, and has bowled 181 overs, more than anyone else across the two teams, picking 11 wickets.
Archer, who last featured in a Test against India in Ahmedabad in February 2021, has been out of the red-ball side since due to a series of elbow and back injuries.
England Lions have announced a strong 14-member squad for their upcoming two four-day matches against India A, starting May 30 in Canterbury, with a mix of experience, exciting youth and a few eye-catching inclusions.
According to Delhi Capitals, Woakes, who picked up five wickets in three matches in the first half of the IPL 2021, has opted out of the tournament due to "personal reasons".
Chris Woakes and Jos Buttler batted brilliantly on Saturday and shared a ballistic 139-run partnership for the sixth wicket to help England chase 277.
Buttler and Chris Woakes scripted an incredible victory for England in the opening Test at Old Trafford on Saturday with a ballistic stand of 139 runs.
Chasing a target of 277 runs, England were put in a tricky situation by the enthusiastic Pakistan attack after they were reduced to 117/5.
England bowlers staged a dramatic fightback in the final session on Day 3 to reduce Pakistan to 137/8 at Stumps in their second innings.
Stuart Broad was the sensation and was also rightly adjudged the Man of the Series, moments after he had reached the milestone of 500 Test wickets.
For the Windies, Kraigg Brathwaite (75), Brooks and Roston Chase (51) cracked half centuries.
