Carrick, along with Kieran McKenna and Mike Phelan, helped Solskjaer before the Norwegian was sacked as manager ahead of Tuesday’s game with Villarreal. The trio are now in temporary charge as the club seek an interim to see the campaign.
But former midfielder Scholes was not impressed to see them given the reins were an integral part of the previous regime, with his feeling the club backed off by not sacking Solskjaer earlier.
“These are the same people who run the team, the same people who have the massive responsibility every week to put this team on the pitch,” he told BT Sport on Tuesday night.
“It’s probably more Kieran McKenna and Michael Carrick who prepared the team. Ole gave them that responsibility, so how that changes now, I don’t know.
“Four weeks ago, this match against Liverpool. This was when we knew Ole was going to leave, it was obvious. So the above people had to prepare the next manager and the next batch of staff.
“I would almost be embarrassed to be the staff now, after what happened to Ole. I think they all should have left. They were part of Ole’s squad, Ole trusted them every week to prepare the squad – and they let the club and the players down as much as Ole did.
Scholes noted that he was “good friends” with some of the current squad officials, but said they should feel “guilty” for their role in Solskjaer’s exit.
Former United star Rio Ferdinand added that the goalkeepers have little time to show the squad that they will offer something different in their new roles.
“It would be a tough few days,” Ferdinand said.
“There’s a goal from this team of ‘What’s your next move? What are your first words – that will determine if we will follow you or consider you as one of the people who have not worked before ”. It’s a huge moment.