The Argentine, who has been linked with a move to Chelsea recently, started the game on the bench before being introduced by Gattuso in the second half, and when asked whether the decision to drop the striker was due to a rumoured exit, the manager clarified that it was purely due to the striker's illness.
Gattuso was asked whether the game was Higuaín's last in a Rossoneri shirt, to which he replied: "I've got a burning inside me, we have 25 players, so let’s not talk about this now. We lick our wounds and will see what happens tomorrow."
The Italian was also annoyed at some of the decisions made by the officials. T
In the first half, Patrick Cutrone was caught marginally offside from a Hakan Çalhanoğlu pass, a call that the former Milan midfielder believed was so tight, that officials should have allowed play to progress, before making the decision.
Il Diavolo's manager felt hard done by, considering La Vecchia Signora were given the opportunity to continue playing when the decisions looked marginal, as Blaise Matuidi slotted home (before being flagged) and Ronaldo headed the only goal of the game in another marginal call.
"It's not up to me to judge the incidents," Gattuso added. "I admit Kessié’s red card was fair. My only concern is the use of technology, as we had a tight offside call and the flag went up. Juve scored two goals and one was disallowed for offside, because they allowed it to continue and made the decision afterwards. That’s what annoys me."
Milan started brightly and approached the encounter in the ascendancy, taking the game to the Bianconeri in the early stages. They would have taken the lead through Cutrone, minutes into the second half, had it not been for the woodwork, which kept the scores level before Ronaldo's winner.
Despite the result, Gattuso indicated he was proud of his team's display, but admitted he would have liked to have won his first managerial piece of silverware with Milan.
"The team showed character today, fought hard against a great opponent. Now we are without two players against Genoa. The performance remains, but there are always regrets when losing a final."