It has become the stuff of legend how Leeds managing director Bill Fotherby rang United chairman Martin Edwards about Denis Irwin and ended up selling Cantona to Old Trafford instead.
What is less well known is that Fotherby never even bothered contacting Leeds' manager of the time, Howard Wilkinson, about the Red Devils' request.
Cantona went on to win four Premier League titles in his five seasons at Old Trafford, securing his status as one of the great United figures.
Leeds, in comparison, never recovered.
Indeed, a 4-0 defeat by United at Elland Road in September 1996 in which Cantona scored a last-minute goal in front of the Kop, marked the end of Wilkinson's time at the club.
Remarkably though, Fotherby has no regrets.
Now 81 and based in Harrogate, he remembers the entire Cantona episode clearly.
"We had got Eric on a recommendation from Michel Platini, who told Howard Wilkinson he could be very difficult to handle but had the potential to be a great player," Fotherby said.
"At the time, we didn't have any money. People thought we had won the pools but we were actually potless.
"Because of that when we met his advisors to put together a deal we agreed to pay Eric something like £500,000 if we kept him after an initial period of a few months.
"It was an immense amount of money for Leeds - not money we had at any rate - but we agreed to it because we had this recommendation from Platini and we judged the most important thing was to get the player and deal with the rest afterwards."
But there were difficulties almost immediately.
"Apart from Lee Chapman, no one in the squad spoke fluent French and for Howard it was a bit of a nightmare. Although we won the title, there was just no connection between them.
"We had a disaster against Rangers in the European Cup and were coming up to the point where this additional £500,000 had to be paid.
"Howard told me to find Eric another club."
Fotherby had still not acted on the request when long-serving full-back Mel Sterland got injured.
"I rang United about Denis Irwin, who had been at Leeds as a young boy," said Fotherby.
"Martin Edwards said there was no chance but I asked him to at least speak to (manager) Alex (Ferguson).
"Normally, I wouldn't have expected him to ring back. This time he did, offering me a different player I knew Howard would not be interested in.
"It was then he asked about Eric. I said absolutely no way and that it was impossible. But obviously I knew what Howard felt about him, and I knew this additional payment was due.
"As I had done before, Martin asked if I would talk to Howard.
"On that particular day Howard was out house-hunting in Leeds, so the only person I actually spoke to was (coach) Mick Hennigan. I just said 'I can't believe it. Guess what has come right out of the blue. Howard will absolutely love it'.
"I left it a couple of hours, rang Martin back and said 'I can't believe this but Howard is willing to let the boy go'."
And so the deal was rushed through, for a fee of just over £1million, which looks ludicrous now given the success Cantona was to enjoy.
"Our fans were bothered. They were really bothered. But I would do exactly the same again," said Fotherby.
"Eric was absolutely magnificent for them but it is not all one way, we got something similar when Gordon Strachan came to us and took us from Division Two to champions.
"Before that, Johnny Giles came from Manchester United and look what he did for Leeds. It happens.
"Sometimes people just move to a certain club at a certain time and become something they would never have been anywhere else.
"The fact it was Manchester United gave it an edge I suppose but they were the ones who made the offer for a player our manager did not want.
"Howard was an absolute perfectionist.
"He wanted his players to be disciplined and adhere to a certain team pattern. Eric just didn't fit it.
"Alex Ferguson gave him a free role and probably wasn't quite as strict with Eric as Howard would have been. Eric liked to play to the crowd. That wasn't Howard's way at all."
And Fotherby refuses to believe Howard's way was the wrong way.
"It is not a question of blaming Howard. I believed in him and won't hear a bad word against him," he said.
"He was Leeds' best manager since Don Revie - and probably still is.
"He brought in Gordon Strachan, Gary McAllister and Tony Yeboah. He won us the league. And all the time we were doing it on a shoestring, asking sponsors to chip in here and there to make up the bits we didn't have.
"For eight years, it worked.
"It all changed when the guys from Caspian came in. They were wanting to take the club onto another level.
"They, and the blokes who followed, got more than they bargained for."