Currently, there is no formal integration between Square and Siri commands. This would be considered a Feature Request.
I would love to get some extra context from you on how Siri integration with Square Appointments would be helpful for your business - that way I can pass it along to our Product Teams. What did you have in mind?
I will keep an eye out for your response!
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Real quickly, I’d like to voice command to have Siri read my appts that are scheduled for today/tomorrow, similar to how it works with Google Calendar.