The position became available when top-order batsman Jonathan Trott left the tour due to a stress-related issue earlier this week.
"(There are) three guys who have the chance to get into that number six spot," the 22-year-old Stokes told reporters on Thursday, a day ahead of the team's two-day practice game in Alice Springs with the second test starting on Dec 5.
"Whether it's me, or Gary Ballance or Jonny Bairstow... we've got the next two days to go out there and put our hand up," Stokes added.
Determined to make the most of an audition against a Cricket Australia Chairman's XI, Stokes said being sent home for indiscipline served as a perfect wake-up call.
"I did set myself out to change it all around and get (team director) Andy Flower thinking 'this guy's serious in what he wants to do'," he said.
"You put in the hard work and you get rewards. I looked at the bigger picture and thought 'I'm in this profession to play at the highest level'.
"So it wasn't hard to go away to make sure that I did those things because if I didn't, I probably wouldn't be where I am now."
Stokes watched from the sidelines as Australia thrashed England by 381 runs in the Ashes opener in Brisbane last week but still got a sense of the occasion just from carrying drinks at the Gabba.
"The intensity was really high," Stokes, who has played 10 one-day internationals, said.
"It was a great experience and something I'll never forget."
(Reporting by Amlan Chakraborty; Editing by John O'Brien)
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