This is the first time in Warner's IPL career that he has been dropped by any franchise for lack of form.
Under Warner, SRH have lost five of their six games as the Australian hasn't been in the best of form in the ongoing edition.
Australian pace bowler has Andrew Tye left his franchise Rajasthan Royals for 'personal reasons'.
The left-arm spinner snared three wickets in one over to change the complexion of the game.
Warner also joked that Kohli is his daughter's favourite player, besides himself, and Australia limited overs captain Aaron Finch.
Australia were 166/2 at the end of the rain-disrupted first day of the third Test.
Warner is expected to replace the dropped Joe Burns but selectors will have to decide whether Pucovski should partner Warner at the top of the order or retain Matthew Wade as a makeshift opener.
The left-handed opener missed the first two Tests in the series because of a groin injury and admitted, despite intensive rehabilitation, it was "highly doubtful" that he would be 100 per cent fit by the time the match starts on Thursday.
Opener Joe Burns has been dropped after twin failures in Melbourne.
Australia failed to record a half-century for the first time in a home Test match since 1988 in the second Test against India at the MCG.