To the surprise of no one, the play Harry Potter and the Cursed Child will be appearing on Broadway - but you'll have to be patient.
According to Broadway.com:
The inevitable transfer of Harry Potter and the Cursed Child will begin performances on Broadway in spring 2018. The play, which runs in repertory in two parts, has proven a critical and commercial smash hit in London's West End, and Great White Way theater owners were involved in an intense competition to land the show. The Ambassador Theatre Group won out and the production is set for an undoubtedly long-running engagement at the Lyric Theatre.
The theater is to undergo extensive renovations to accommodate , and 400 seats will be removed from the vast, 1900 seat auditorium.