The Duke of Sussex spoke about his relationship with King Charles III and Prince William in a new promo clip from his interview with Tom Bradby, due to air on the UK network ITV on Sunday.
The interview is to promote Prince Harry's new memoir, "Spare," which will be published worldwide on Tuesday.
In the clip, released on Thursday, Harry said he wouldn't be opposed to attending his father's coronation ceremony in May.
"There's a lot that can happen between now and then," Harry said.
"But, the door is always open. The ball is in their court. There's a lot to be discussed and I really hope that they're willing to sit down and talk about it," he added.
Bradby also questioned Harry over his relationship with Prince William.
"Wouldn't your brother say to you, 'Harry, how could you do this to me after everything? After everything we went through?' Wouldn't that be what he would say?" Bradby said.
"He would probably say all sorts of different things," Harry responded.
Bradby also asked Harry what he thought about accusations that he was invading the royal family's privacy with the release of his memoir.
"That would be the accusation from people that don't understand or don't want to believe that my family have been briefing the press," Harry said.
The prince also said he still believes in the monarchy, but that he doesn't know if he will play a part in its future.
