The former England worldwide was linked with a move earlier in the week with reports suggesting that he had a deal already been agreed in principal.
Allardyce's future is equally uncertain, but he moved to quell the notion Rooney was seeking to leave because of a rift with the coach.
DC United boss Ben Olson has confirmed interest in Wayne Rooney but insists the deal to take him to MLS is not yet done.
Rooney has had a hard season at Goodison Park since his move from Manchester United last summer.
"But let's put this right, Wayne Rooney has not asked to leave and neither has Wayne Rooney had any confrontation with me or been in any hard situation in the time since I've been here because we are two adults and we talk".
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He told Sky Sports: "The legacy he has brought to the Premier League, the goals, the trophies, everything he has done at Manchester United, England and here, he is an incredible player. Wayne Rooney has not asked to leave and neither has Wayne Rooney had a confrontation with me".
"But if he does choose to go on I just need to wish him all the best really, him and his family".
"There is an area we need to improve and that is goals".
The talented forward originally left his boyhood club in 2004 as an 18-year-old before spending 13 glittering seasons with Manchester United, winning five Premier League titles and the UEFA Champions League in 2008.
"However, let's wait and see".
United is prepared to pay him between US$5 million and US$8 million per season (NZ$7 million to NZ$11.5 million), said a well-connected figure who requested anonymity in order to speak about the negotiations.