Ivanka's lawyers had asked the court to exempt the First Daughter from facing a deposition.
In a declaration filed with the court last week, Ms Trump described herself as the former president of the company, saying she was now an assistant to the Republican president of the U.S. and maintained an office in the White House.
Furthermore, it is not just the Hettie #shoe design that Aquazzura sued Ivanka's company for, but also Trump's "Teagin Pointy Toe Pump with Tassel" that looks like the "Forever Marilyn" shoe design of the Italian brand, together with the "Necila", which is very similar to Aquazzura's "Belgravia". She said her only involvement was a "final sign-off of each season's line after it was first reviewed and approved by the company's design team".
According to Forrest, there's "a reasonable inference that the shoe at issue would not have been released without [Ivanka's] approval".
Trump also claimed she lacked relevant information about the shoes, which are sold with her name stamped on them in gold letters.
Trump's statement contradicts earlier claims that she plays a pivotal role in her company's designs.
Forcing Ivanka Trump to be deposed "would be an unnecessary distraction and would interfere with her ability to perform her duties at the White House", they stated.
Forrest said that given Trump's "competing professional obligations", her deposition would be limited to two hours and would occur in Washington, DC, "if that is more convenient for Ms. Trump".
Mr Trump, per his normal habit, took to Twitter and said his daughter had been treated "unfairly" by the company.
Luxury Italian shoemaker Aquazzura says Ivanka's brand ripped off their design when creating the Ivanka Trump "Hettie" shoe-a red sandal that looks a little like parts of Elmo were used to make the straps.