Send leads from Airchat website bots to Infusionsoft

I’m running a few website bots built with at my client’s websites. The bots are performing especially great and generating lots of meetings for my clients.
I’m wondering if there is a way to integrate with Infusionsoft.
What I’m trying to do is to have all generated by airchat leads automatically added to the Infusionsoft account(s). Please, help.

Usually I’d recommend Zapier, but I don’t see direct integrations. Looks like API or webhooks through Zapier would be the only solution