According to this documentation:
"Moving or renaming any Application Insights resource changes the resource ID. When the ID changes for a workspace-based resource, data sent for the prior ID is accessible only by querying the underlying Log Analytics workspace. The data will not be accessible from within the renamed or moved Application Insights resource."
In the same documentation, you can review whether you can move the resources between subscriptions.
Moving the Log Analytics workspace to a different subscription is possible with a few considerations. For more information on how to move within subscriptions, this document might help you in achieving that.
I hope this helps!
Remember to accept the answer if it is helpful.
NOTE: If you need additional assistance, please mention me in the reply so I can help you more quickly.