Set after the events in Captain America: Civil War, Black Panther reunites viewers with T’Challa, who returns home to the African nation of Wakanda to take his rightful place as king and the new Black Panther.
Although Wakanda has everything they need and more to give Bucky a new arm, there’s a good reason why the crew behind Black Panther decided not to do it.
Given that the connection between Bucky and Wakanda has now been established, it wouldn’t be too crazy if Bucky was given the White Wolf mantle at some point.
He could just be Bucky and that’s why I think it was important for him as a character to go, ‘not Sergeant Barnes, my name’s Bucky.