The fast bowler is likely to get a chance in the five-match ODI series against Pakistan to make his case stronger for the upcoming World Cup.
Head coach Justin Langer said he reached a mutual agreement with Saker, a former England bowling coach, that it was time for the pair to part ways.
Australia announced the team for the two-match T20I and five-match ODI series against India on Thursday.
Starc, who was voted player of the match for his second career 10-wicket haul in tests, was supported by Pat Cummins, who took 3-15.
Starc claimed his 10th five-wicket haul in tests by taking the final two Sri Lanka wickets in his first over after lunch.
Perera was to undergo a mandatory concussion test after he was unable to continue batting at Canberra's Manuka Oval.
The former three-time World Cup winning cricketer also slammed pacer Starc, who was at the non-striker's end, for not intervening.
India vs Australia, 3rd Test: Hosts Australia were 8/0 at stumps, trailing India (443/7 decl) in the first innings at the end of day two in Melbourne.
Kohli also received the backing of Australia coach and Test skipper Tim Paine himself, who said he relished his war of words with the combative Indian.
Mitchell Starc agreed that cracks opened up on the last two days but flat tracks which increasingly made cricket a batsmen's game would then be devoid of any contest.
Australia pacer Mitchell Starc opened up on Australia's winning combination and how the Aussie tailenders have done a brilliant job so far.
Australia took just an hour and 15 overs on day five to bowl India out for 140 in the second innings and win the match by 146 runs in Perth and level the four-match series 1-1.
Vaughan also said Mitchell Starc's performance dipped in the second innings though he ended up taking five wickets in the game.
Starc managed two wickets in the first innings and three in the second in Adelaide, where India emerged victorious by 31 runs.
India beat Australia by 31 runs at the Adelaide Oval on Monday to take a 1-0 lead in the four-match series.
After folding Australia for 235, India steadily built their lead through Rahul (44), Kohli (34) and Pujara (40*) to stitch up a 166-run lead on Day 3 of the 1st Test in Adelaide.
India rattled the Australian batsmen with a combination of spin and pace to reduce the hosts to 191/7 on Day 2 despite Head's valiant unbeaten half-century.
Australia dominated proceedings most of the day but Cheteshwar Pujara's 123 guided India to 250/9 at stumps on day one of the Adelaide Test.
The basic idea was to give the youngsters a peek into how a senior player handles the media and the tough questions.
It will be surely a series to watch out for before the 2019 ICC World Cup and both teams will give their all to achieve the glory and the journey will start from Adelaide Oval.
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