The clubs players all appeared for their Europa League game against Rijeka, on Thursday, wearing the number 10 shirt with Maradona's name on it but took it for before kickoff.
Currently named San Paolo stadium, Maradona played on that Naples from 1984 to 1991, winning the club’s only two league titles in 1987 and 1990; he also won the UEFA Cup and Coppa Italia with the side in his seven years spell, scoring 81 goals in 188 appearances.
De Laurentis was reported telling Sky: "I've been in talks with local authorities for the past 17 years, I have always asked to buy the stadium and rename it 'Diego Armando Maradona'," He said.
"If then, for tradition, we will need to call it both 'San Paolo' and 'Maradona' so be it.
"It won't change much, but it's only right that Maradona has this recognition. Even if we were to build a whole new stadium, I would name it like that."
"I believe it is right to name the San Paolo after you, so we can keep you with us as a witness of the excellent path this team has taken," De Laurentiis is said to have expressed in an emotional letter addressed to the late Maradona.
"Your years here remain indelible in the memories of the people of Naples - symbolic of a coveted redemption and yearned-for resurrection," he added.
Mayor De Magistris said: "Within 10 to 15 days, in a very short time frame, we will close the formal practice.
Since helping the club to its first Serie A title in 1987 and a second in 1990, Napoli is yet to win a third.
De Magistris added: "We will rename this stadium that is part of our life and our history to the greatest player of all time.
"It's a process but it will be a quick process, because when there is such a strong desire there's nothing that will hold us back. We're hoping to make it coincide with the resumption of games with fans."