Allardyce said on Friday that Rooney has not requested to leave the Merseyside club but he would be "comfortable" if any player wanted to move on.
Rooney returned to boyhood club Everton at the start of the season after 13 years at Old Trafford, where he enjoyed a remarkable career, becoming United's all-time leading goal-scorer while winning every major domestic trophy as well as the Champions League, Europa League and FIFA Club World Cup.
DC United manager Ben Olsen has reportedly confirmed his side's interest in signing Everton star Wayne Rooney, though no deal has been agreed as yet.
Rooney has had a hard season at Goodison Park since his move from Manchester United last summer.
There have been reports of a falling out between the former England manager and all-time England record goalscorer, with their relationship thinning throughout the duration of the campaign.
Rooney, who first burst onto the scene aged just 16 at Everton, is the club's top scorer this season with 11 goals but he has not scored since December.
Allardyce said "Wayne is a special player but if any player wants to leave they can, in my opinion".
Exit polls is 'entertainment for the next 2 days': Siddaramaiah
Till about 3 pm, approximately 53% voter turnout was reported in the single-phase Karnataka elections , as per poll officials. On a related note, the Karnataka Assembly has 224 seats and a party or an alliance needs 113-seats to form the government.
'My understanding of the situation is that there seems to have been some negotiations somewhere along the line, ' said Allardyce.
"I don't get involved in anything with regards transfers so all I know is there appears to be interest from DC United".
Lampard, (Patrick) Vieira...now you have Zlatan (Ibrahimovic), you have Wayne, so I hope he enjoys (it).
"Only when I speak to him later today will I find out where the situation lies".
"We have not been in any hard situations with me".
Everton fans are planning to voice their discontent at the way the club has been run this season during Sunday's game against West Ham at the London Stadium.