According to the ICANN requirement, the Registrant (who owns the domain) must provide and maintain a publicly viewable database that displays the personal contact information when registering a domain, as it helps them to regulate domain registration and ownership.
However, when you purchase a domain with Z.com it comes with a WHOIS Privacy Protection, this service hides your contact information and replaces it with unique anonymous information. This means any personal information you share with Z.com will remain with us.
Here is a Whois Privacy Protection sample for your reference
Name : Whois Privacy Protection Service by onamae.com
Organisation : Whois Privacy Protection Service by onamae.com
Street : 26-1 Sakuragaoka-cho Cerulean Tower
City : Shibuya-ku
State : Tokyo
Postal Code : 150-8512
Country : JP
Phone : +81 354561234
Email : proxy@whoisprotectservice.com