The 32-year-old Rooney will have an opportunity to complete a move to DC United when the MLS mid-season transfer window opens on July 10.
"I can tell you great stories about Wayne and the things that he has done".
"Wayne is a special player but if any player wants to leave they can, in my opinion".
'If any players want to leave, I'm always comfortable with any player who wants to leave or if any player doesn't want to leave.
He is now halfway through a two-year deal with Everton, has played 31 times in the league this season with four appearances from the bench.
There was a mix of excitement at the return of a player now the record goal scorer for both United and England, though countering that was a fear that his best years were firmly behind him.
The England international's representatives have apparently been in the United States for weeks already in a bid to negotiate a deal that will see him leave his boyhood club for the second time in his career.
Allardyce is targeting a top six finish next season.
"We've not been in any hard situation in the time since I've been here because we're two adults and we talk". Wayne is so level-headed. "I have a one-year contract and until someone says to me "I no longer want you to fulfil that contract" then I have a contract", he added.
Back then he talked about how he wanted to play a part in Everton winning silverware after a long trophy drought, dating back to their 1995 FA Cup win. "It's done, it's there", he said.
This tendency to get overwhelmed in congested midfields has seen him dispossessed more often than any other Everton player this season, while his attacking output has faded to nothing with no goals or assists in 2018.