In an interview with i09, Peter Capaldi voiced his opinion on Gallifrey, and whether the Doctor will try to find it:
"I think he does absolutely want to find Gallifrey. It’s a duty. In some ways, the Doctor is quite an old-fashioned character. He does have a recognition of duties and loyalties, but these are things that are deep-set in him. I don’t think he’ll ever feel satisfied that Gallifrey is safe until he finds it. And of course, he is still riven with guilt about what he’s put Gallifrey through."But the Doctor was never particularly on the High Council's good side, was he? At best, he was a nuisance, at worst, a menace. Steven Moffat also offered his take on the return of Gallifrey, and how the Doctor might interact with the High Council and the people of Gallifrey.
"It’s not all horrible is it? If we’re going to be all judged by the standards of our governments, we’re all screwed, aren’t we? There are loads of nice people on Gallifrey. What about the people who worked in the kitchens? What about the people that worked on the farms? They’re not responsible for that and the Doctor would know that.Do you think Gallifrey should come back? If it does return, which characters from the classic series would you like to see again? Tell us below!
If the Doctor does ever find Gallifrey, some people are in for an arse-kicking. But he knows—he knows!—that it’s not people like us, the sad scum of the Earth, on Gallifrey, who are responsible for the terrible crimes of the High Council. And just remember that the High Council was always sort of terrible, even on the classic series."
[Source: Doctor Who TV]