Kiko described Berta's decision to approach the pitch in the final moments of Tuesday's Champions League semi-final as an act of pure ego.
Simeone shoved Berta toward the tunnel in the 95th minute after the Italian moved to the touchline gesturing at the referee to blow the final whistle. The pair had to be separated by fourth officials and backroom staff from both sides.
Speaking on El Larguero on Cadena SER, Narváez was sharply critical of the Arsenal director, who spent 13 years at Atletico Madrid before leaving for north London last summer.
"It's textbook egocentrism. Textbook egocentrism — and rubbing something in. I don't see sporting directors anywhere in world football going out there waving their arms like that. Such a desire for the spotlight."
Narváez, who played 225 games for Atlético between 1993 and 2001, went further in his assessment of Berta's conduct.
"These people don't know how to win or how to lose, because they have a problem. They don't listen to anyone and they love being seen."
He also produced the sharpest line of the segment, referencing Simeone's longtime former assistant Mono Burgos whose physical intensity on the touchline during his years alongside the Argentine became one of La Liga's more familiar sideshows.
"Lucky Mono Burgos wasn't there for the Berta thing."
Narváez also addressed Simeone's future, saying he had literally dreamed of the manager returning for a 15th season next campaign.
"I dreamed that Simeone was still coaching in 2026-27. Not 26 or 27 more years — because that would ruin everything. But there have been far more complicated moments for Cholo than this season. He reached a Copa del Rey final and a Champions League semi-final. There are other years where you could have had more of a case against him."
Simeone is contracted at Atlético until 2027.