Henry was born in Brazil as Henrique Chagas Moniz de Aragao Gonzaga.
He has a younger sister named Fernanda.
Zaga got his first television role in 2015 as Theo Barnett in The Mysteries of Laura, which is a television series about a single mom homicide detective who continues to solve cases while taking care of her two sons.
After The Mysteries of Laura, Henry landed the role of Donnie in the 2015 drama film, Cardinal X.
Since Teen Wolf, he has earned roles in two films and a short: The Wing, XOXO and Cherry Pop, which have not yet been theatrically released.