Former President Trump has asked New York's highest court to rescind the limited gag order that prevents him from commenting publicly about witnesses, jurors and lawyers in his ongoing criminal trial, according to a new court filing.

The filing is sealed, but is the next step after an intermediate appeals court yesterday upheld the order imposed by trial Judge Juan Merchan.

Trump has frequently attacked the judge, which is permitted, and has called the limited gag order unconstitutional.

In its ruling yesterday, the intermediate appellate court said that Merchan had appropriately balanced Trump's free speech rights with the court's need to control the trial.

There was no immediate comment from the Manhattan DA's office.

-ABC News' Katherine Faulders contributed to this report

According to a transcript of the day's court proceedings released this evening, Donald Trump and his attorneys have not yet decided if the former president will testify at his trial.

The transcript included a private sidebar conference held this morning, during which Judge Juan Merchan asked defense lawyers about Trump's possible testimony.

"And do you have any indication whether your client is going to testify?" Merchan asked defense attorney Todd Blanche.

"No," Blanche replied.

"No determination yet?" Merchan asked.

"No," Blanche said.

The conversation happened outside of the earshot of reporters and members of the jury.

Speaking to reporters after exiting the courtroom, former President Trump was asked about today's testimony, as well as if he plans to testify during the trial.

"As you know, I'm under a gag order. So I can't really answer those very simple questions that you're asking," Trump said, referring to the order that prohibits him from making public comments about jurors, witnesses and lawyers in the case, but does not keep him from discussing the case itself.

"We'd love to not be in the gag order. I'm the Republican nominee for president. I'm leading in every poll, and I have a gag order."

Recapping his day in court, Trump said, "We had a very, I think, a very good day and important to see what's happening and you'll have to record it because I can't talk about it too much."

"We had a very good day. I think we're exposing the scam for what it is," he said.

-ABC News' Kelsey Walsh and Mike Pappano

Michael Cohen, his testimony done for the day, left the courtroom without looking at Trump.

During a bench conference, defense attorney Todd Blanche said he wants to explore with the court and the opposing counsel the admissibility of a defense expert witness before deciding whether to call him.

The judge set a conference to take place Thursday at 4 p.m. ET, after the jury is excused slightly early for the day.

Asked about Thursday's timing for the remainder of his cross-examination of Cohen, Blanche told the judge, "If I finish, it's at the end of the day."

The rest of the parties then departed the courtroom.

Defense attorney Todd Blanche is confronted Michael Cohen with past communications -- with friends and his daughter -- to suggest Cohen was vying to be chief of staff or attorney general after Trump was elected in 2016.

"You told your daughter were disappointed?" Blanche asked about Cohen's response after Reince Priebus was named Trump's chief of staff.

"That I wasn't considered -- yes sir," Cohen said.

Blanche also suggested that Cohen wanted to be attorney general or special counsel the president.

"You told people you would like to be attorney general?" Blanche asked.

"I don't recall that," Cohen said.

An earlier witness -- Stormy Daniels' lawyer Keith Davidson -- testified that Cohen told him that he wanted to be chief of staff or attorney general.

Cohen pushed back on Blanche's suggestion that Cohen wanted a job other than the one he was ultimately given: personal attorney to President Trump.

"I wanted a hybrid position -- one where I would still have the access to President Trump but not be a White House employee," Cohen testified, echoing his testimony from earlier this week.

"You still, even after November, were still looking for a position in the White House?" Blanche said.

"Yes sir," Cohen said before quickly correcting himself. "No."

"I didn't want the General Counsel's office - I made that crystal clear," Cohen said. "There was no shame in being personal attorney to the president of the United States."