Postecoglou, an Australian, has lost his first two games in charge, including a Carabao Cup defeat at Swansea City.
In response to the negativity, Postecoglou questioned why people might be reacting so negatively to his appointment.
He noted that he has been perceived as a likable person and suggested that the negative reaction may be due to his background.
Postecoglou previously managed Celtic in Scotland, where he may not have been given a lot of respect for his approach to the game.
However, during his first year as Tottenham manager, Postecoglou led the team to a fifth-place finish, despite losing their star player Harry Kane.
This result would have been enough to qualify for the Champions League in other seasons, but it was not recognized by everyone as a success.
Postecoglou believes that this experience shows that his approach to football can be effective, but it may not have been given the credit it deserved.