Coach Andy Robinson echoed Parks's comments, and said they never recovered from a sloppy start.
Wilkinson was appointed captain for England's three November internationals by acting coach Andy Robinson on Monday.
BBC: SPORT | Rugby Union | Internationals | Johnson backs Wilkinson
Andy Robinson and Kevin Nugent scored in extra time to win it for Swansea.
Midfielders Andy Robinson and Ferrie Bodde also made the side alongside the club's top-scorer Jason Scotland.
Andy Robinson is trying to get this Scottish team to play like the Australians.
The number has been cut from the original 30 applicants, and includes Edinburgh coach Andy Robinson.
Ashton was promoted to the role of head coach in December 2006 following Andy Robinson's resignation.
Edinburgh coach Andy Robinson is the favourite to take over from Hadden, who stepped down in April.
The Edinburgh-born forward has pointed towards team boss Andy Robinson as a big factor in his progress.
"Andy Robinson is doing an outstanding job at the moment with Edinburgh, " the Glasgow coach told BBC Scotland.
But they were revived after the Scottish Rugby Union reassumed control and installed Andy Robinson as head coach.
Edinburgh head coach Andy Robinson said he was delighted to have strengthened his front five options for next season.
Uncapped Edinburgh back Jim Thompson is among the replacements for Andy Robinson's team.
BBC: Rory Lawson earns start for Scotland for Argentina Test
Andy Robinson was smiling as we gritted our teeth and got through it.
Their inquiries got under way almost immediately as coach Andy Robinson and Chief Executive Tony Swift began debating the subject.
The result was a confidence boost for Andy Robinson's side in the build-up to the Heineken Cup double-header against Wasps.
In other international action, former England coach Andy Robinson led his new Scotland team to a 23-10 win over Fiji.
England coach Andy Robinson wants to keep his squad together for a block of eight weeks over the Six Nations.
BBC: SPORT | Rugby Union | English | Bath vow to keep England players
It marked a difficult spell in Corry's career as England struggled under his - and coach Andy Robinson's - leadership.
Ashton said the defeat - his 10th in 21 Tests since taking over from Andy Robinson - had not affected his self-belief.
Last week England coach Andy Robinson called on the Premiership clubs to stick to the agreement to prevent the players suffering burn-out.
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Edinburgh coach Andy Robinson was in bullish mood ahead of the match.
However, it is known that Edinburgh coach Andy Robinson and former All Black Mike Brewer have declared their interest in the post.
Another area of concern for head coach Andy Robinson in the first Test was the vast amount of possession that was turned over.
Injured fly-half and new captain Jonny Wilkinson, veteran prop forward Jason Leonard and new coach Andy Robinson all received OBEs for services to rugby.
BBC: SPORT | Rugby Union | Queen honours England's Cup stars
If Kellock and Cusiter miss out, head coach Andy Robinson will need to select a new skipper, with Mike Blair among the likely contenders.
Scotland's head coach Andy Robinson had hoped the scrum-half would be fit to play at least a part of the two-match Test against Argentina.
The Edinburgh second row made his first Scotland start in more than two years as Andy Robinson's men defeated the 2007 world champions 21-17.
It was a far cry from 12 months previous, when Andy Robinson presided over a run of eight defeats in nine games before being sacked.
But England coach Andy Robinson is looking for too many excuses.
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