Calendly. sharing icloud calendar with google calendar. how to do this?

I use Calendly for business. recently they've stopped integrating with ios. as a work around, i was told that i could sync my ios calendar with google calendar and then integrate with Calendly. I'm in a panic because i send out my Calendly link for customers to book appointments and so far, it's conflicted with other events because the calendars aren't syncing. HELP!