There are two levels of time/timezone configuration in DailyBot:
The organization has a main time zone, which is the default for new users. It is also the time zone of reference for your team reports deadline, and for daily reports time configuration.
Each user can define their own timezone, and then each user can define at what time they start working every day; DailyBot won’t ask a user to fill the daily report before that time.
DailyBot is perfect for your multi-timezone use case; in case you want DailyBot to send the complete report (all team answers at once), make sure you set the report to be sent at a time when everyone in the team has had time to fill it.