Amazon API Gateway is integrated with AWS CloudTrail, a service that provides a record of actions taken by a user, role, or an AWS service. CloudTrail captures all REST API calls for API Gateway as events. The calls captured include calls from the API Gateway console and code calls to the API Gateway service APIs. Using the information collected by CloudTrail, you can determine the request that was made to API Gateway, the IP address from which the request was made, when it was made, and additional details. See documentation for more details.

You can also use AWS Config to record configuration changes made to your API Gateway API resources and send notifications based on resource changes. See documentation for more details.