De Laurentiis was unhappy with the nature of the 4-2 defeat after extra time in Beijing that saw two Napoli players - Goran Pandev and Juan Camilo Zuniga - sent off. Napoli also opted to boycott the trophy presentation in protest.
Napoli's decision to refuse to speak to the media was criticised by Juventus and Serie A.
De Laurentiis broke his silence today, and said: "Am I still angry? Why no, just five minutes after the game I was calm again.
“You know what I did after dinner? I gathered the team, I took them out to a club and we toasted them with 10 bottles of champagne.
“Also, I decided to give each of them a bonus of €20,000, because they were the moral winners of this Super Cup, to me.
"This Super Cup is worthless, as it is organised. The lingering bitterness is that we have lost a good opportunity to export the impeccable image of our football abroad."