The Dutch legend was far from impressed with the negative manner in which Roberto Di Mateo's men booked their place for the showpiece of Europe's elite club competition
The Blues edged the Catalans 1-0 at Stamford Bridge, before delivering a rigid defensive performance in the second leg to hold Pep Guardiola's men to a 2-2 draw at Camp Nou to confirm a date in the final with Bayern Munich.
"This is terrible. How the hell is this still possible? It is one way of achieving success, but not ours [Ajax's]. I would rather go down fighting, De Boer told Algemeen Dagblad.
The Barcelona legend then took a dig at Chelsea attacker Juan Mata, who he believes was very underwhelming in the tie.
"If you ask Mata 'now you have twice played against Barcelona, what have you done?' he will say 'I defended blindly and booted balls forward'. But Mata is supposed to be a technical player, right?"
The Champions League final between Bayern Munich and Chelsea is set to be played on May 19 at the Allianz Arena.