Meet X Zone

Set up meetings across time zones in an easy to navigate application
Easily scroll through the week (free version) or select a date in a month (Full Version)
Allows unlimited cities (Full Version) - 5 for free
Allows for working time highlighting, making time slot selection much easier
Integrates with calendars on the ios device
Select/deselect the calendars as per requirements (Full Version)
Extensive sharing options using iOS share sheet - WhatsApp, Telegram, iMessage, etc
Book appointments right from the app (Full Version)