As England players flew home in the early hours following a final defeat in Sydney, Warne took to Twitter in answer to calls for him to apply for the role. (Agencies)
"To my English followers, I'm flattered that you would like me to consider the England job," Warne tweeted.
"All I can say is -- I will think about it," he tweeted.
The comment could of course be a wind-up from the 44-year-old who, at the end of January, was named as spin consultant ahead of Australia's World Twenty20 campaign starting in Bangladesh in March.
Cricket Australia said Warne would support head coach Darren Lehmann, providing specialist training for the squad's spinners.
And Warne later made it clear Australia remained his number one concern.
"Re Eng job, I know it's created a bit of interest hahaha," he wrote. "I'm flattered to be considered, but my priorities, as always, are with the Aussies."
The England job has been vacant since Andy Flower quit a week ago after losing the Ashes 5-0 on a disastrous tour Down Under.
Warne, who retired in 2007 with a then world-record 708 Test wickets, tormented England during his celebrated career, including a 1994 hat-trick, but was also well-known for his off-field antics.
Melbourne's Herald Sun urged Warne to think again about his offer.
"You should be dismissing hare-brained ideas like that without a second thought," it said on its website.
"Surely you wouldn't coach the Poms mate??" tweeted former batsman and colleague Michael Slater.
England's one-day coach Ashley Giles is among the favourites to take over from Flower.
As England players flew home in the early hours following a final defeat in Sydney, Warne took to Twitter in answer to calls for him to apply for the role.