Speaking on BT Sport ahead of United's 6-2 win over Roma in the Europa League semi-final first leg, Scholes said the Americans 'use this club as a toy to make money'.
Hostility towards the Glazers has reached intense levels since they signed up for the failed European Super League proposal.
Scholes said: "I'm not sure there ever will be a connection with these owners.
"As long as there are billionaires owners from another country, I don't think there will be a connection and we have to stop pining for that. The most important thing for the fans is what happens on the pitch.
"Look at the club, the resources they've had and they haven't won a trophy for four years. It's ridiculous. I don't think Ed (Woodward) is a football man - we've had five or six years of choosing the wrong managers, the wrong type of players for this football club and it is all down to the ownership.
"It comes down to billionaire owners who are greedy and just use this club as a toy to make money.
"Ok they are getting on the right track now I think, I hope and Ole (Gunnar Solskjaer) has done a fantastic job getting the club almost back to challenging for silverware – they're here at a semi-final and need to go one further.
"When the football is alright and the team is winning trophies, who cares who the owners are?
"This club should have the very best of everything. Directors of football – have they got the best of the best? They invented the role of football director. What is that?
"Is he signing new players for us, ordering new footballs? If they want a director of football, get the very best out there. They probably don't have the best manager out there but he's on the way.
"This club gave me my life, this will be me until the day I die."