The question before the Supreme Court was whether the authority of APJs to issue decisions on behalf of the Executive Branch is consistent with the Appointments Clause of the Constitution. In a plurality opinion by CJ Roberts, the Court ruled that regardless of whether the Government is correct that at-will removal by the Secretary would cure the constitutional problem, review by the Director better reflects the structure of supervision within the PTO and the nature of APJs' duties. In vacating and remanding the case back to the Acting Director of the USPTO, the Court held that "because the source of the constitutional violation is the restraint on the review authority of the Director, rather than the appointment of APJs by the Secretary, Arthrex is not entitled to a hearing before a new panel of APJs."
Full text of the opinion is available here.