De Zerbi was appointed by Tottenham to succeed Igor Tudor, with Spurs now sitting i the relegation ahead of their encounter away to Sunderland on Sunday.
Postecoglou famously led the North London club to the Europa League title last season but was still sacked after finishing 17th in the Premier League standings.
De Zerbi's tactical blueprint involves a heavy emphasis on possession and attacking flair, similar to Postecoglou, but could be detrimental to their chances of remaining in the league.
"I want to see again the Tottenham I watched with Postecoglou," De Zerbi said in his first official press-conference since being installed in his new job.
"In my second season in Brighton, there was Postecoglou here with a lot of these players and it was one of the best teams in terms of quality of play.
"With Pedro Porro, with Destiny Udogie, with Micky van de Ven, with Cristian Romero, with this squad, and I would like to see it again.
"The DNA of this club, of this squad is to find the goal, to score. In my plan for sure there is the idea to stay for a long time.
"To try to put Tottenham - and I'm not speaking about the titles because it's not the right moment now - but to put Tottenham to stay in the position in the Premier League because everything is here to reach that level."
Spurs have had a dismal campaign with Thomas Frank being shown while Tudor did also not work out in his shirt stay as head coach.
They have yet to win a game in the Premier League in 2026 but De Zerbi emained humble about his predecessors while focusing on the job at hand for the remaining seven games.
"I do not think I am better than Thomas Frank or Igor Tudor, because I consider them very good coaches," De Zerbi said. "I try to bring my style, myself, my character, my personality, my passion, to help the players first to show their qualities, because they have a lot of qualities.
"And then to achieve our target, because the most important part now is our target. Now I have to work. Now we have to make points."
Pep Guardiola admits Manchester City have not been 'consistent enough' this season and says they need to win every Premier League game remaining to stand a chance in the title race.
Nuno Espirito Santo has praised his side's response after West Ham United powered out of the relegation zone with a commanding 4-0 win over Wolverhampton Wanderers on Friday.
Mikel Arteta has insisted his full attention remains on Arsenal's title charge as he brushed aside fresh talk of a new contract ahead of their clash with AFC Bournemouth today.
Liam Rosenior has insisted his side has "no new injury concerns" ahead of Chelsea's clash with Pep Guardiola's Manchester City, but confirmed several key players would miss out at Stamford Bridge.
