Erik ten Hag takes over the Old Trafford hot-seat after almost five years at Ajax and reports suggest that the 52-year-old is set to add McClaren to his backroom staff.
McClaren was Sir Alex Ferguson's assistant at United between 1999 and 2001 with his last management job coming in 2019, when he was sacked by Queens Park Rangers after a run of one win in 15 games.
Jordan was surprised at the links and told talkSPORT that he believes McClaren's best days are firmly behind him.
"Steve McClaren is a very pleasant guy but I have watched him at every club he's attached himself to over the last 10 years.
"It has been a disaster and I think his day has been and gone," said the former Crystal Palace chairman.
"Look at the contributions to the clubs he's been at; whether its Derby County or Newcastle or whether it's Nottingham Forest. They've all been situations that have never worked out well.
"I think some of the things he says are not the most intuitive. I think once upon a time he was a very good coach under an outstanding manager at Manchester United and he did have his moment in the sun at Middlesbrough, where he did a reasonable job there."
Despite his opposition to McClaren's return, Jordan believes his time managing FC Twente in Holland has made him a candidate for Ten Hag's coaching staff.
"There might be a reason for his [McClaren's] involvement. You're bringing a Dutch manager into the football club, he's [McClaren] managed in Holland, understands the mentality, also understands Manchester United - once upon a time," Jordan added.
"This is not the Manchester United that Steve McClaren was fortunate enough to be involved in, this is a different Manchester United.
"I don't know what they base this current recruitment of Steve McClaren on - FC Twente are not Manchester United."
Jordan continued and was critical of the former England manager's record over the last decade, describing it as poor.
"I look at Steve McClaren and I think, there is nothing about you and what you say and what you've done in the last 10 years of your management career.
"Whether it's bouncing from Nottingham Forest or Derby to Queens Park Rangers and Newcastle; the things you've said and the teams that you've produced and the selections that you've made and the advice that you've given, have all been in my view, poor."