Inter stunned Barcelona to win the first leg on Wednesday evening in extra-time 4-3 to reach the last 7-6 as aggregated.
Marotta then said in the mixed zone: “It was an epic game between two great teams.
“We are happy that we have reached this milestone, which must be credited to the coach, the players and this wonderful crowd that almost physically supported us. We are honored to play the final in Monaco on 31 May because we deserved it.”
Asked if the passion that was shown during the night was the result of the work of Inzaghi, Marotta also said: “Certainly. Simone Inzaghi is the center of this model, supported by the board, by a new ownership that is always present, even when it is quiet.
“It's a victory for everyone, but the greatest architect of this victory is certainly the coach.”
“Best evening of my career”
He continued: “After all the expectations I would say no. This team started to be conscious when they played the final in Istanbul. It is a group that has been together for four years, it has received a lot of consciousness and great harmony has been well coordinated by the coach.
“We are among the big ones and we are with great merit and with great determination. It was what we wanted and we achieved the goal.”
Asked if this was the best match of his career, Marotta added: “From an emotional point of view, certainly yes, also from an adrenaline point of view. It was an advertisement for whole world football”.