They touched down in Perth for the five-Test tour barely two months after wrapping up a 3-0 home series win over Australia, and they will once again look to capitalise on their opponent's fragile batting.
Australia chopped and changed batsmen and their position in the order throughout the last campaign and they paid the price, with coach Darren Lehmann promising more stability this time round.
England spinner Graeme Swann said on arrival that the team was "always confident".
But Cook denied England will be complacent after being dominant against their arch-rivals for so long, particularly with an anticipated hostile reception expected from the home fans.
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"Complacency -- that's not a problem," he said before boarding the plane in London on Wednesday, minus star all-rounder Kevin Pietersen who was granted compassionate leave following the death of a friend.
He is expected to join up with the 17-man squad on Sunday.
"We have a chance to win four Ashes series in a row for the first time since 1890. Everyone is excited by that and is desperate to do that," added Cook.
England get their tour underway against Western Australia on October 31 ahead of the first Test at the Gabba in Brisbane starting November 21. This is followed by Tests in Adelaide, Perth, Melbourne and Sydney.
British bookmakers William Hill have England at 10/11 favourites for the series with Australia 13/8 and 9/2 the draw.