The Italian has been linked with AC Milan, Barcelona and Bayern Munich.
But De Zerbi said: "If you ask me if there is any club that can change my mind, I answer that there isn't one. I would like to stay at Brighton to achieve the maximum possible objective in each season.
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"But first we need to analyse the situation with Tony Bloom (club owner), Paul Barber (chief executive) and David Weir (technical director)."
De Zerbi added: "I have always been honest when I said that there is no club that can change my mind, there is no club that is behind me."