McKenzie will cut his squad from 40 to 30 players tomorrow, with Cooper certain to remain and either Toomua or Foley likely to be culled.
"Every position is hotly contested and No10 is no different," Cooper said. "I see it as an opportunity to learn off each player. There's two other guys who are great players and who have done a great job for their teams throughout the year.
"Matty [Toomua] and his [Brumbies] team were in the [Super rugby] finals and we had to sit on the sidelines and watch.
"Bernard did a great job for the Waratahs, taking them as far as they did. From where they were last year and where they are now, it's a great transformation.
"So I've just got to come here with an open mind.
"Obviously you can't look at yourself as being the best at everything.
"There's going to be things that I'll bring to the team and things that they'll bring to the team."
Cooper admitted that his time in the test wilderness after falling outof favour with McKenzie's predecessor Robbie Deans made him hungrier to add to his 38 caps for the Wallabies.
"When you have time away from the game, whether it be for your club side or your national team, whenever you're selected for that team again the hunger is always there," the playmaker said.
"But for me, my work ethic away from the team is what I've had to work on the most.
"Not knowing if you're going to be involved in the team, that's something when you're away from the team you've got to work hard on and if you are lucky enough to be called up, then you're ready to go."
- AAP