'Uncle' Ebbe, famed for his quirky quotes including saying that "statistics are like miniskirts", told BBC Sport that he will be fully behind his former club - even though they are playing a team from his home country.
He said: "The Scottish game is very much respected in Denmark. There is no way that Aberdeen will be underestimated and I can honestly say that I will be supporting them in the tie."
The Dane had his ups and downs in European competition with the Reds, overseeing a disastrous exit to Bohemians and a brave fight with top German club Hertha Berlin.
And Ebbe, whose most recent managerial post was with BK Frem before his resignation in 2005, believes that Aberdeen can overcome his countrymen in tonight's huge UEFA Cup match and progress to the last 32 in the competition.
He said: "I think it is about 50-50 - Copenhagen have more international experience as they are in Europe every year, so they are very strong.
"If he is fit then Jesper Gronkjaer will be a danger to Aberdeen. But Copenhagen haven't been as good as they were last season and they will expect severe pressure from Aberdeen."
Meanwhile, former Dons keeper David Preece has also backed his former club to progress in the tournament.
Preece, who now plays with Danish lower-league side Silkeborg, believes that the Red Army can make the difference on the night.
Preece told Dons official e-newsletter RedAlert: "There is no reason why Aberdeen can't win the game, because as much as FC Copenhagen are a good side, the big factor is playing at home.
"A full house with all the fans behind them will make a big difference. If the fans can create the atmosphere like they do in some of the bigger games, like when we play Rangers at home, that could be crucial. That's the sort of atmosphere you need for nights like this."
But Copenhagen coach Stale Solbakken says that his side are full of confidence in the build-up to the crunch game.
He said: "We have been here a couple of times to see them and have also watched some tapes. There's no excuse if it goes wrong for us.
"Before the group stages I would have put money on us finishing ahead of Aberdeen, but now it's a cup final."