Shaw said formal negotiations were yet to start but he felt it was important to be transparent.
"The negotiation team is supported by a reference group with broad expertise, including Jeanette Fitzsimons and other senior figures in the Green Party.
"I want to assure Green Party members and the public that we go into these negotiations in good faith and with the best interests of all New Zealanders at heart."
Shaw said he was aware New Zealanders wanted negotiations to be undertaken "professionally and promptly", and the Green Party would honour that.
National and Labour are yet to announce their negotiating teams.
Labour leader Jacinda Ardern has said she doesn't plan to hold three-way talks with NZ First and the Greens. She expects one-on-one talks with each party.
Both Ardern and National leader Bill English have said they want to move at the pace Winston Peters is comfortable with.