There is nothing called iPhone Calendar on an iPhone. See the pic below for clarity..

On an iPhone, there is no separate account called an “iPhone Calendar Account.” Instead, the Calendar app can display and manage calendars associated with various accounts and services, such as iCloud, Google (Gmail), Yahoo, Microsoft Outlook/Exchange, CalDAV, and corporate or workplace accounts.
The Calendar app is simply the interface through which you view and manage these calendars. The actual calendar data is associated with the respective account or service.
For example:
- iCloud Calendar: Calendars are synchronised through your Apple Account and iCloud.
- Google Calendar: Calendars are synchronised through your Google account.
- Yahoo Calendar: Calendars are associated with your Yahoo account.
- Outlook/Exchange Calendar: Calendars are associated with your Microsoft account or corporate Exchange account.
- CalDAV Calendar: Calendars are synchronised through a compatible CalDAV server.
- Corporate Calendar: Calendars may be provided by your organisation through Microsoft Exchange or another supported calendar service.
You can check which accounts are configured on your iPhone by going to Settings > Apps > Calendar > Calendar Accounts. Depending on your iOS version, the menu labels may vary slightly.
In short, the iPhone's Calendar app is not itself a calendar account. It is an app that provides access to calendars associated with the accounts you have configured on your device.