What data are you looking to view? The simplest approach here is to use Azure Monitor rather than App Insights. This will allow you to collect monitor date for your logic apps, such as successful runs, failed triggers etc. You can see more details here.
Want to see performance and usage of Logic App on Azure App insight

Sandela Vinaya
1
Reputation point
Want to see performance and usage of Logic App on Azure App insight.
Configured App Insight and got the API Key and added a task on the logic app workflow.
How can I visualize the results on App Insight?