The second T20 International, which South Africa won by six wickets after bowling out for 92 runs, was marred by boorish crowd behaviour as spectators threw water bottles on the field disrupting play.
"The police were standing there without any instructions. The policemen, who are stationed on the boundary perimeter should not be watching cricket but monitoring the behaviour of the fans," a furious Gavaskar told NDTV.
The former skipper said irrespective of the team's poor performance, the spectators have no right to disrupt play by throwing objects on the field.
"Do the crowd throw valuables when the team does well? When the team does badly, the fans have no business to throw rubbish," Gavaskar said.
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India were bowled out for their second-lowest total in T20I history as comeback-man Albie Morkel notched up three wickets to dismantle the home side's line-up.
"My honest advice to Indian players is not to get complacent. They must strive to get better. Amit Mishra could have been tried as MS Dhoni had no confidence in Axar Patel. I think Axar is being rushed into international cricket too soon," said Gavaskar in his analysis of the Indian team's performance so far.
The T20Is would be followed by a five-match ODI series starting from October 11.