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Chappell further said he could not understand why left-handed batter Travis Head was dropped for the first Test in Nagpur.
India retained the Border-Gavaskar Trophy after crushing Australia inside three days in the first two Tests of the ongoing series.
The left-arm spinner will link up with the squad ahead of the one-day leg next month.
Paceman Josh Hazlewood has already been ruled out with an Achilles injury.
The Delhi Test loss would rankle Australia for they had a genuine chance of squaring the series.
The hosts finished a run behind Australia's 263 and the latter were 61/1 at stumps on day two.
India were 21 for no loss after bowling out Australia for 263.
Hours after India had 'topped' the Test ranking, the ICC issued another updated list that showed Rohit Sharma's side back at No.2.
Green's return would allow Australia to harness uncapped Matt Kuhnemann with Nathan Lyon and Todd Murphy in a three-pronged spin attack at Delhi's Arun Jaitley Stadium.
Friday will see him become the 13th Indian cricketer to join the illustrious club of 100 Tests.