Speaking to Polish Radio 3 on Wednesday, Żurek said the investigation would concern everyone involved who is not protected by immunity.
He named top presidential aide Zbigniew Bogucki and the head of the National Security Bureau (BBN), Bartosz Grodecki.
He also referred to another presidential aide who he said tried to obtain keys to various rooms in the Constitutional Tribunal building.
Żurek said President Karol Nawrocki was protected by immunity.
He argued that, while in office, the president should answer before the State Tribunal rather than prosecutors, with the relevant parliamentary committees deciding whether he had broken the law and should be brought before that body.
“The president must not enter the Constitutional Tribunal without an invitation. There is a constitutional principle that the judiciary is a separate branch of power from the others, and this separation must be maintained in institutions such as the Supreme Court and the Constitutional Tribunal,” Żurek said.
Referring to footage of the confrontation, Żurek said Judge Anna Korwin-Piotrowska had kept her hands clenched to avoid touching the president's coat or jacket, while Nawrocki had pushed her away forcefully.
The National Public Prosecutor's Office on Tuesday opened an investigation into an alleged assault on Constitutional Tribunal judges Anna Korwin-Piotrowska and Krystian Markiewicz.
It is also investigating a suspected attempt to influence the Tribunal's official activities through violence and unlawful threats.
Prosecutor General spokeswoman Anna Adamiak said preliminary findings indicated that several people had acted together, forcefully pressed against the two judges and then pushed them away from the building's entrance, violating their bodily integrity.
She said those people subsequently entered the building intending to use violence and unlawful threats to influence the Tribunal's official activities.
The incident took place during the night of October 30-31. On Friday evening, representatives of judges elected by the current parliament announced that Korwin-Piotrowska, as the longest-serving judge, would lead the Tribunal. She issued an order suspending the duties of Tribunal President Bogdan Święczkowski and Vice-President Bartłomiej Sochański.
The dispute intensified outside the building, where protests had been taking place for several weeks. Święczkowski said he was the Tribunal's sole administrator and described decisions made by those he called usurpers as unlawful.
President Nawrocki cut short his visit to Senegal and returned to Warsaw late on Friday. He met Supreme Court First President Zbigniew Kapiński before going to the Tribunal.
(sp)
Source: PAP