Speaking at the festival, which ran from July 14 to 22, Harington said he would like to have the strict morality of Jon Snow, and give him a touch of his own sense of humour.
The actor said he has such a strong bond with his character in the cult series created by George R.R. Martin that he feels like he is "living two lives".
The series, which is airing its seventh season, has captured a record audience in the US and Italy on Sky Atlantic.
The actor said Jon Snow "did not want to climb hierarchies, which is one of the things I most like about him", adding that he does not think he will become king of the seven kingdoms.
Harington said that his choice for that role would be Tyrion (Peter Dinklage), who he described as "a true leader".
According to Harington, who can count King Charles II of England as an ancestor, history has always alternated between "moments of calm and chaos".
"‘Game of Thrones’ started in the midst of a world recession and we are finishing at a time when the world is experiencing deep anxiety," he said.
He added that the fantasy genre "is never just fantasy", and the series has represented reality thanks to the talent of its authors.
Harington stars in a hotly anticipated film, 'The Death and Life of John F. Donovan', which is set for release in 2018, the first English-language film by French-Canadian director Xavier Dolan.
The film's cast includes Natalie Portman, Jessica Chastain, Susan Sarandon and Kathy Bates.
Harington will also return to the small screen in the three-part drama series ‘Gunpowder’, of which he is also producer, in the role of Robert Catesby, an ancestor of the actor.
Catesby masterminded the so-called gunpowder plot in 1605 with which Catholics plotted to blow up the House of Lords and kill King James I.
Harington said he is a fan of Italian filmmaker Matteo Garrone with whom he has just shot a commercial in Naples, describing it as a "beautiful and fun experience".
With ANSA
