Apex domains cannot have CNAME records.
Question and response
Question
dig freeparking.co.nz. NS
Answer
freeparking.co.nz. 5 NS rocky.ns.cloudflare.com.
freeparking.co.nz. 5 NS hope.ns.cloudflare.com.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0