Hi. I would like to know if you guys think that Zappier offers a solution for me.

I am an online tutor on two different online platforms- Preply and Italki. I would like to whenever I receive a class booked on one of the two platforms, for the other to automatically have the calendar closed for the same time gap.

From what I know, all Preply offers is the possibility to synch their calendar with Google Calendar, by letting you log in with your Google account. 
Italki on the other hand gives the tutors a link that you can import into Google calendar for instance, but all it does is to reflect whatever is in Italki's calendar into Google calendar, but not the other way around. This is an example of the link: https://www.italki.com/calendar/6SrPalRuVXp9TkVnwGosw7/ics

Please let me know if there is anyway that with Zapier I would allow me to avoid getting overbookings, and how so.