Widespread reports in the UK have indicated that Rooney is in advanced talks with U.S. outfit DC United over a proposed £12million switch this summer.
Rooney would join DC United when the USA transfer window opens in July, and Neville insists it would be a beneficial move for the former England captain.
Wayne Rooney has not asked to leave Everton, says manager Sam Allardyce - despite the striker agreeing a deal that could see him go to the USA. DC United plan to open their new 20,000-capacity Audi Field stadium in July, and hope to have Rooney on board by that point.
"If the player wants to go - if any players want to leave - I'm comfortable".
Reports in England suggest that Manchester United's all-time leading goalscorer Wayne Rooney could be the latest star join up with the likes of Zlatan Ibrahimovic and David Villa in Major League Soccer.
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Rooney has cut a frustrated figure at times this season back in the blue of Everton, despite being the club's highest scorer with 11 goals.
Fans are unhappy with the style of play under the former England boss and are keen for the club to replace him with a more adventurous coach.
Rooney returned to Everton last July on a free transfer from Manchester United, but his dream return to Goodison Park has been a mixed one.
Allardyce and Rooney appear to have had their differences and the player's show of dissent when substituted in April's Merseyside derby resulted in clear-the-air talks.
He is Everton's leading scorer this season with 11 goals, but has found life hard as the Blues have endured a far-from-impressive campaign, first under Ronald Koeman, then caretaker boss David Unsworth and finally Sam Allardyce.