30-year-old Rooney has three years left on his Old Trafford deal and the Chinese Super League wants to lure him to the Far East.
But MLS could offer him the financial package and lifestyle he wants in his last few years as a professional player.
They could make him the highest-paid player in the league which would be more than the $7.2million (£5.5m) a year Kaka earns at Orlando City.
Portland Timbers owner Merritt Paulson may not lead a chase to sign Rooney, but he believes the league can put together a deal to suit the striker.
MLS continues to expand with Los Angeles FC joining in 2018 and Atlanta United, with former Tottenham football administrator Darren Eales as president, to follow, so there will be outfits looking for star names.
“He still has some good soccer ahead of him,” Paulson said. “People assume he is older than he is.
“He would be a great signing for the MLS – 100 per cent the MLS would be attractive for him.
“Keep in mind he is a very talented footballer who has quality soccer ahead of him. You are not talking about a 34 or 35-year-old.
“I get excited about the impact he would have in MLS more than a guy who is coming in later in his career.”
Rooney has given no indication he wants to play abroad, and new England head coach Sam Allardyce made it clear the forward remains part of his plans.
But when he does eventually consider life after Old Trafford there is a possibility he could link up with former United star David Beckham as he presses ahead with plans to start a team in Miami.
Beckham is set to strike it rich with the franchise he on which he has taken a £19m option as part of the contract he signed when he moved to LA Galaxy in 2007.
It now costs over £100m to bring a franchise to MLS and it is believed Miami’s team would be worth more than £250m the minute it is officially started.
Eales’ Atlanta expansion team have already sold 22,000 season tickets before they have even kicked a ball and will share the £1.2bn Mercedes-Benz Stadium with NFL side Atlanta Falcons when it is finished.
The stunning facility has a retractable roof and 71,000 seats but will be limited to 29,000 for Atlanta United to create more of an atmosphere, with selected games opened up to extra fans.