"We conclude that the appeal has no real prospect of success and that there is no other compelling reason for it to be heard."
Lawyers for the former US president also played a clip of Johnny Depp.
Johnny stepped down from his role as Grindelwald last week, "in light of recent events".
The actor has said that Warner Bros requested he "resign" from his role as Grindelwald in the films.
The Hollywood actor launched legal action against News Group Newspapers over an article published in April 2018.
Amber Heard Alleges Johnny Depp ‘Threatened To Kill Her Many Times’, As She Begins Evidence In Libel Case
Depp is suing The Sun's publisher over an article from 2018.
The actor's legal team said there is "no need" to hear from his former partners who were both due to give evidence.
The actor is facing a fourth day of questioning during his high-profile libel case against The Sun.
The actor denied assaulting his ex-wife during a trip to Australia, as he faced his third day of questioning at his libel trial against The Sun.
The actor is currently suing The Sun's publisher over an article published in 2018 describing him as a "wife beater".