I’m far from an expert in Zapier, but …
- I believe you can invoke an outbound webhook feature in Slack to send log data to Zapier.
- From Zapier, it’s a simple matter of completing the recipe by moving the data into Airtable.
This might require a little scripting on the Zapier side to establish a webhook listener (totally unsure about this).
If #1 is not possible (i.e., Slack doesn’t support logging events as outbound webhooks), then you’d have to create a middle-ware integration that retrieves the Slack logging data from time-to-time (using the Slack API) and pushes it into the Airtable base target (using the Airtable API).