In an age of ever-increasing European dominance by the heavyweight clubs in Europe's five major leagues, Ajax - who were 250-1 outsiders at the start of the competition - are striking a blow for the forgotten nations by defying some of the favourites.
"Ajax have several good players and play good football, they are no underdogs.
"We showed it in the Bernabeu (against Madrid), we showed it against Bayern Munich (at the group stage) and now we showed it against Juventus".
While Ajax and Barca continue to enjoy their move to the semis, they would closely watch the remaining set of quarter-final clashes, between Manchester City-Tottenham Hotspur and Porto-Liverpool.
Matthijs de Ligt hailed Ajax's "unbelievable" achievement after the Dutch club ended their 22-year wait for a Champions League semi-final appearance by shocking Juventus.
Winger Douglas Costa is "not in the best physical shape" after a calf problem and won't be able to play the whole game, but could play for half an hour.
Cristiano Ronaldo, bidding for his sixth Champions League title, scored a 28th-minute header to put Juve ahead after a 1-1 first-leg draw, but Donny van de Beek levelled for Ajax before half-time.
He has netted 24 times in the quarter-finals, 13 in the semis and four in the final, demonstrating his dominance at the business end of the campaign.
Mattia De Sciglio - 5 - Slow to react for Ajax's opening goal after leisurely sauntering forward, and there was little improvement from there - bar one or two solid defensive challenges on Neres - before Allegri hooked him for Cancelo midway through the second half.
"We have so much potential, we're all still quite young, and I think everyone saw what we can do".
"He's disappointed as we all are, but we can't be dragged down by this disappointment", Juventus coach Massimiliano Allegri said. "Having said that, I am very happy and proud of the team and the whole staff".
Rio Ferdinand also raved about Ajax and De Ligt in particular.
Juventus require just a point at home to Fiorentina on Saturday to wrap up their eighth straight Serie A title; they then go to Inter in the Derby d'Italia before hosting neighbours Torino.