Hello Mathieu, Welcome to MS Q&A
Yes, you can stop a Logic App(standard) while allowing the current running workflows to finish. When you stop a Logic App, it cancels all in-progress and pending runs immediately, but it does not affect the workflows that are currently running. Therefore, those workflows will complete their execution before the Logic App is fully stopped.
For a Consumption logic app, it will continue all in-progress and pending runs until they finish, and it won't create or run new workflow instances after being stopped.
References:
- Manage logic app workflows in the Azure portal
- Create a Standard logic app workflow in single-tenant Azure Logic Apps using Visual Studio Code
Let us know if any further questions
Thanks
Deepanshu