"As a result of our enquiries so far we are looking to locate Jamie Lesley Jones, aged 31 years old, also from Napier," Mr Pritchard said.
The cyclist was taken to Hawke's Bay Hospital in a serious condition by St John Ambulance, which then turned critical.
On Saturday an arrest warrant was issued for Mr Jones, a Black Power member.
In March, he led police around Napier in a bizarre slow-speed car chase lasting around an hour and a half.
Beginning just after 11pm in Greenmeadows, he evaded police in a stolen Toyota Hilux, driving on the rims after the ute's tyres were spiked three times.
Residents were woken in the early hours by police sirens which continued for more than an hour, as police signalled to Jones to pull over.
He failed to do so and was followed by police cars and members of the public before the pursuit ended about 12.30am.
Crowds lined the streets in Taradale, Greenmeadows, Onekawa, Marewa and Maraenui, and rubberneckers posted videos to Facebook about the "chase".
In July the forest worker was sentenced to three months' jail.
Last night a Hawke's Bay District Health Board spokeswoman said the cyclist remained in critical condition.
Police's serious crash unit are investigating. As of last night police had not located the vehicle.
- Anyone with information on the whereabouts of Jamie Jones is asked to contact Hawkes Bay Police on (06) 831 0700 or report anonymously via Crimestoppers on 0800 555 111.