They also warned anyone helping him evade police was breaking the law.
"Anyone assisting or harbouring Tangiora will face charges as a result of doing so," said Wilson.
The wanted man is described as 175cm tall and medium to solid build.
He often has a dark beard.
The public should not approach him but call police immediately.
The victim is recovering after surgery at Waikato Hospital on a single gunshot wound to his leg.
Waikato police said they also wanted to speak to witnesses to Sunday night's shooting, or anyone who had information about it.
People can contact Detective Scott McKenzie on (07) 858 6200.