But he informed the selectors on Wednesday that he was not ready for the demands of international cricket.
"We have picked what we consider a well-balanced squad, " said chairman selectors Trevor Hohns.
BBC: SPORT | Cricket | International Teams | Australia | McGrath left out of Aussie squad
"I can't imagine that many of the selectors had seen him in action, " he said.
The selectors sprung a surprise by picking 20-year-old batsman Jean-Paul Duminy for the one-day squad.
Have you ruled out a return at some stage, if you can catch the selectors eye?
But South African selectors relaxed their qualification rules last month and named him in both events.
It was up to the selectors and I was just happy to get the call.
Not only is there code hinting, but inline color pickers and font selectors, as well.
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Streak was sacked as captain in April after he questioned the selectors and their policy.
BBC: SPORT | Cricket | Other International | Zimbabwe | Streak could return for Zimbabwe
"The rotation policy has not worked the way the coaches and selectors would have liked, " said Kirk.
Chairman of selectors Trevor Hohns said Tait deserved a place ahead of the more experienced Glenn McGrath.
BBC: Tait played for Australia against India during the winter
But the selectors are still free to choose players from outside the pool for the Test matches.
The 27-year-old reminded the England selectors of his ability with a century in Warwickshire's draw with Lancashire.
England's chairman of selectors David Graveney has, meanwhile, urged supporters to get behind the team in Australia.
BBC: There is no history of English fans causing trouble abroad
New Zealand's cricket chiefs have told selectors to look beyond those who have joined the unofficial league.
Pakistan's selectors ditched Inzamam and seven other players from the team following the early World Cup exit.
The selectors also named uncapped paceman Kashif Raza and recalled off-spinner Shoaib Malik and all-rounder Yasir Arafat.
Former England Test captain Geoffrey Boycott says confused thinking from Australia's selectors has undermined their Ashes campaign.
Dwayne Peel sent a timely message to Wales' selectors with a classic scrum-half's try as Sale regained the lead.
"We feel it is important for Brett to get some solid match practice, " said chairman of selectors Trevor Hohns.
BBC: SPORT | Cricket | Other International | Australia add MacGill and Watson
"It's not too late, he's only 30, " said chairman of selectors Trevor Hohns.
BBC: SPORT | Cricket | International Teams | Australia | Gillespie gets vote of confidence
The 36-year-old told selectors he wants to remain in Australia to be with his wife Jane, who has cancer.
BBC: SPORT | Cricket | International Teams | Australia | McGrath pulls out of SA Test tour
There was very little contact from the selectors other than being told that I had to get some runs.
Indeed, the Irish selectors may use the Saxons game as an opportunity to see Wallace in action at fly-half.
And, when he's available, the selectors will clearly have options for the summer.
The selectors will add two further players to the squad before the first Test at Shenley on 24 June.
The England selectors will name a squad on Wednesday for a Twenty20 International and five one-dayers against Sri Lanka.
BBC: SPORT | Cricket | England | Vaughan refuses to hurry comeback
"Targets and transformation was one of the issues we were aware of when we took on the job as selectors, " said Strydom.
"It is a masterstroke by the selectors to pick four quicks, " he said.
The selectors have kept faith with Ian Bell despite a poor tour of India, with Owais Shah providing batting cover.
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