We had started communicating last year that the Application Insights Connector which provided a way to export Application Insights data to a Log Analytics workspace will retire on June 30, 2019. After that time, any Connectors you have will stop working. Instead of the Connector, you can directly access Application insights data in Azure Monitor Applications, store it for an extended period of time (in preview) and query it using Log Analytics. You can also perform cross-resource queries and view multiple Azure Monitor Application Insights resources.
For more information, please read our documentation.