Gasperini is among the names being linked with the Napoli job for next season.
De Laurentiis told TAG24: "I always watch Atalanta's matches with great interest because they have a very good coach, excellent players and they play very interesting football."
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The movie mogul also threw his support behind Serie A president Lorenzo Casini.
He said: "Lorenzo Casini is the best president that Lega Serie A has had in the last twenty years.
"Casini knows the rules of the state, he is a jurist and is a person prepared on everything. I am confident that all this puzzle of misunderstandings can be put together towards the only path, which is that of the total autonomy of Serie A football. Serie A is an industry and as an industry it must be autonomous and independent."