'It's all about friendship, Hindi-Chini bhai bhai (Indians and Chinese are brothers)," the boxer said.
Malignaggi was not pleased that sparring photos that showed him in a bad light were released.
The 40-year-old hangs up his gloves after 69 fights spanning 21 years.
The Ultimate Fighting Championship president attacks the media's interpretation of McGregor's behaviour.
Malignanni has been sparring with McGregor to prepare him for his fight with Floyd Mayweather.
Fury has not stepped into the ring since fighting Wladimir Klitschko in November 2015.
Irishman could be tested by the Ultimate Fighting Championship or the United States Anti-doping Agency.
While Tyson enjoyed the press conferences, he believes the eventual fight will be disappointing.
The two combat stars will face each other in a little over a month on 26 August.
Saunders is willing to bet his life that Mayweather will finish McGregor within five rounds.
The odds were notably lowered after the world tour.
Former WBO welterweight champion Jessie Vargas made the claim that McGregor was knocked out.
"Money" could join Michael Jordan and Tiger Woods in earning over a billion dollars from their respective sports.
The last press conference is set to take place on Friday (14 July) in London.
The next press conference will take place on Thursday (13 July) in Brooklyn, New York.