The Tribunal called for a Māori transition authority to work out how to eliminate the need for Māori to go into care.
A scathing new report found the state carer culpable of multiple breaches of the Treaty of Waitangi.
The Waitangi Tribunal recommends a Māori Transition Authority be established to oversee changes to New Zealand's state care system.
"I've directed Oranga Tamariki to develop a strategy responding to these calls for change."
There is no other way to stop Māori being disproportionately taken into state care than to disestablish Oranga Tamariki, critics say.
"It's always been Pākehā saying 'we know what's best for you'. We're saying right now, 'hands off our tamariki - no more'."
Māori Party co-leader Debbie Ngarewa-Packer says his departure is a sign progress is not being made.
She said Moss should make way for Māori leadership.
The CEO is still not stepping down.