We have an app which is listed on AppExchange which passed the security review.
There is an issue only in Partner Professional edition when the app executes an Apex batch from LWC. The error: "apex://ClassName: No apex action available for ClassName.methodName" In all other editions it works just fine.
I did not find any documentation which says that PE cannot execute batches. For testing purposes I installed another app from AppExchange which executes batches. I see them in Apex Jobs. Could you advice how to fix it or troubleshot?