Users can better troubleshoot and debug APIs with Azure Application Insights. During the preview, the integration is limited to a single Application Insight instance, it's on or off for all APIs, and data can’t be customized.
All restrictions during the preview are planned to be lifted for general availability and allow users to integrate with multiple Application Insights instances, enable or disable AI integrations on a per API basis, and to customize the data sent to AI and its sampling rate.
To vote and share your thoughts visit the Azure API Management integration with Azure Application Insights post.
Source: Azure Roadmap