He is a member of Salem's group.
He appears to be loyal toward Salem and dutifully follows her orders.
His only acknowledgment of Cinder is to speak ill of Cinder's loss to Ruby Rose in battle, though in doing so he also acknowledges her as a peer.
Ozpin informs Oscar in "Kuroyuri" that Hazel is someone from his past and advises Oscar to be cautious of him as a result.
When Oscar has trouble getting a train ticket out of a machine at a train depot due to lack of funds, Hazel shows up and bangs on the machine. This causes a train ticket to fall out of the slot. Before moving on, Hazel advises Oscar not to let a small obstacle obstruct his path.