Australia had replaced Starc with left-arm spin all-rounder Ashton Agar for the crucial game against Afghanistan, which they went on to lose.
Green recently played in the IPL 2024 for Royal Challengers Bengaluru (RCB), scoring 255 runs and picking up 10 wickets.
Rishabh Pant, Axar Patel couldn't make it to India's squad for the Cricket World Cup 2023 due to injury concerns.
Marnus Labuschagne has been drafted into Australia's Cricket World Cup 2023 squad with spinner Ashton Agar left out.
Australia defeated India by 21 runs in the third ODI to clinch the series 2-1 at the MA Chidambaram Stadium in Chennai on Wednesday
Ashton Agar had landed in India as one of the senior spinners in the Australian squad but returned home after not finding a place in the XI
The star Australia all-rounder is the third player from the side to return home after David Warner and Josh Hazlewood
Australia were on Monday dealt further blow when fast bowler Josh Hazlewood was ruled out of the remaining two matches of the Border-Gavaskar Trophy after failing to recover from his left achilles injury
Left-arm spinner Ashton Agar could be Australia's X-factor and should be considered as their "second spinner" in pursuit of the team's first Test win in India since 2017.
After bringing about a stunning run out from the point region, which caught Liam Dawson well short off his crease, Ashton Agar flew in the air at the boundary rope to save Malan's shot from going for a six.