Rooney has not enjoyed success in management in his past two jobs, going out from DC United and Birmingham City on a low.
However, Rooney believes he will improve and can eventually reach the Premier League.
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"I definitely want to get back into management," he said on BBC One, where he was doing punditry duties for Manchester United's FA Cup win over Nottingham Forest at the City Ground.
"The aim is to manage in the Premier League eventually, Manchester United or Everton are the dream jobs, but it's a process.
"In the next 10 years hopefully I can be in with a chance of taking one of the top jobs."