GM TechLink has acknolwedged that up to 464, 2017 Z06's might have a supercharger which "groans" or "moans." Check your VIN and if you are the unlucky one, your dealer has more info on it -- traceable to a bad batch of pulleys.
Originally Posted by GM TechLink
Supercharger Idler Pulley Sounds
A scraping or moaning sound may be heard from the supercharger idler pulley on some 2017 CTS-V, Corvette; and 2017-2018 Camaro models equipped with the supercharged 6.2L V8 engine (RPO LT4). The sound will be most noticeable when the engine is idling.