De Zerbi has left Brighton after a disagreement over market plans this summer.
Di Gennaro told TMW Radio: "De Zerbi? I know that half the Premier wants him, listening to the experts. At Brighton he did something extraordinary, seeing the players he has.
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"Even from the farewell he received, it is clear that he has done an important job.
"Can De Zerbi coach anywhere? His football goes in a certain way and the club must go after him. Milan, Juve and Napoli, if you don't win something then there are problems."