@Daniel Thanks for reaching out. You can configure the log level for the logging that controls the logging behaviors of the function app, including Application Insights.
If you need only error to log, then you can configure the particular function app with Error
.
"logging": {
"fileLoggingMode": "debugOnly",
"logLevel": {
"Function.MyFunction": "Error",
"default": "None"
},
"console": {
...
},
"applicationInsights": {
...
}
}