"Am I well known, have I done a few things? We've done something," Allegri quipped on stage, before turning serious about the mood around the squad's pre-season camp.
"It's a pleasure to be here, especially because we're working well. Thanks to the facilities and to all the fans who join us every day at training. So thank you to everyone."
His assistant, Marco Landucci, also took the microphone, according to TuttoNapoli: "I'm the old man of the group. I talk a lot, they try to make me work less. I've been fortunate to be with the boss for several years now, and he brings me along.
"Am I often sent off and have to be the manager in his place? We're a group that works together, even if I sometimes step up myself."
Landucci added that this year should be different: "This year he won't get sent off and he'll always be there, which is much better. Was I in goal the year Napoli won their first Scudetto? Yes, I was in goal for Fiorentina, it finished 1-1, we stayed up and Napoli won their first title. I'd love to have that experience again, winning with Napoli."
The lighter mood came on a day when Napoli also moved to shut down speculation over one of their biggest names. Fabrizio Romano reported that Inter Miami had denied any interest in signing Kevin De Bruyne, quoting the MLS club directly: "Inter Miami deny to me that Kevin De Bruyne is a possible target for their midfield. The player is focused on Napoli."
The Belgian had been repeatedly linked with a move to Major League Soccer in recent weeks, with some reports suggesting friction around the club's previous coaching setup fuelled the speculation, but Romano's update closes down, for now at least, any suggestion of an imminent departure.
De Bruyne, 35, joined Napoli as a free agent last summer after leaving Manchester City, in what was widely seen as a lifestyle choice following a decade at the Etihad. Barring a dramatic change, his future remains tied to Naples, where he is expected to be a leading figure in Allegri's plans for the new season after spending much of last year sidelined.