We don’t yet have FLG listed as a service in Zapier. They require us to publicly publish the API docs, which we’re in the process of doing.
Until then, it’s fairly easy to connect services to FLG with Zapier’s webhooks, and vice versa.
Here's a downloadable guide explaining how to connect email to FLG. By replacing email with any of Zapier’s other ~250 services, it becomes very useful!