"These players are the best we have and they need to know the selectors love them. It's time Cricket Australia stopped treating the Australian Test team like a club side," Healy said.
The former wicketkeeper-batsman said the selectors had been making the same mistakes as the dark days of the mid-1980s, before Lawrie Sawle, Greg Chappell and Bob Simpson adopted a new policy.
"Now is the time for the same consistency of selection. We can't afford the conjecture about who should be batting where," Healy was quoted as saying by the 'Courier Mail'.
Healy was of the opinion that the selectors should be patient and must have the confidence in the players.
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"Phil Hughes made two centuries in his first five Tests (and averaged 58.56) and was then dropped. Steve Waugh averaged 12 at the same time and took 26 Tests to score a century.
India started the four-match Test series with an eight-wicket win, before decimating the visitors by an innings and 135 runs to take a 2-0 lead.
Healy has 366 catches and 29 stumpings to his credit, besides scoring 4356 runs at an average of 27.29 from 119 Tests.