Rooney is understood to be considering his options following a disappointing first season back at his boyhood club, although any final decision over his future may not happen until a new manager is appointed.
The 32-year-old has agreed a deal in principle to join DC United, though, and head coach Ben Olsen remains optimistic that the transfer will go through.
"There is interest in Wayne Rooney from our end and I think there is interest from his end too," Olsen is quoted as saying by BBC Sport.
"Nothing is done, so I don't want to get into talk of arrival until he actually arrives. Nothing is ever done in this world, when you're looking at a deal of this scope and size. We'll see, but hopefully we can get it done."
Rooney still has one year remaining on his contract at Goodison Park.