Hi @Anonymous ,
Do you want to pass a JSON data from your app to your flow, and then within your flow, add these passed data into your Excel file?
Do you also want to copy the Excel file from your Cloud Storage (e.g. OneDrive) into your SP Library?
I have made a test on my side, and please take a try with the following workaround:
Flow's configuration as below:


Within the "Add row into a Table" action of above flow, set the TaskName field to following formula:
item()?['TaskName'] /* <-- TaskName represents the column name in your passed collection */
set the Executor field to following:
item()?['Executor'] /* <-- Executor represents the column name in your passed collection */
...
...
App's configuration as below:
Set the OnSelect property of the "Pass JSON Value" button to following:
'20190812_case3'.Run(JSON(CityPopulations, JSONFormat.IgnoreUnsupportedTypes))
The CityPopulations collection as below:
Please take a try with above solution, check if the issue is solved.
More details about firing a flow from an app, please check the following video:
https://www.youtube.com/watch?v=1wl9AtxWdkg
Best regards,