You can use Google Calendar to set up appointment time slots. Once complete, here is what it looks like on your calendar (the left side) and for people viewing it (the right side):

The steps to set up an appointment system in google calendar are:

1. create a google calendar dedicated to your appointments
2. create individual appointment time blocks as your schedule allows, or make recurring appointment time blocks
3. set options for appointment duration
4. get a shareable link to your appointment calendar
5. share this link via email, possibly in your email signature, or even on a website if it is for your department
6. once people have made appointments, they show up on your google calendar

I recommend creating a new calendar rather than using your existing event calendar. This way it is clear which events are being creating as appointments, and you can publish appointment time slots for people to select separately from your other events.

1. Click on the gear icon in the top-right, then click on Settings
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2. On the left side, click Add calendar and then Create new calendar
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3. Name your calendar (i.e. “appointments”) and then click Create calendar
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After creating a new calendar to hold all your appointment events, start creating time slots where you will be making appointments.

1. On your google calendar page, the Create button
2. Click Appointment slots
3. Change the calendar to the new appointments calendar
4. Click on More options to edit further settings