THGhost

Answer: He did. But Hagrid loved him more. He was heartbroken when Buckbeak was taken from him in Prisoner Of Azkaban so Harry thought it best for him to go back to Hagrid.

THGhost

Answer: Harry didn't own Buckbeak or have any decision about what became of him, nor could he have taken care of him. After Sirius Black escaped, he kept Buckbeak hidden at his house, Black Manor. Harry saw Buckbeak when he visited his godfather. If Buckbeak had been returned to Hogwarts, he'd still be executed. Eventually, Buckbeak was secretly reintroduced into the Hogwarts hippogriff herd under the new name of Witherwings.

raywest