Hi @Eric Shen ,
As the SharePoint hosted app can be accessed using IE and Cghrome in other clients, I assume this is a specific issue for the Chrome browser in the On-Premise Server.
Here are some suggestions for your referecen:
- I suggest you could try to clear up the Chrome cache and run in Private Mode to see if login can be successful.
- Try to disable Loopback check which will also could related promopt popup issue:
Disable “LoopBackCheck” for SharePoint Server
- If the issue still exists, I suggest you can trace the request using Fiddler or Chrome Developer Tool to see the detailed reponse data.
- If nothing can be found in Fiddler, try to check SharePoint ULS log for a furthur troubleshooting.
Here is a similar question for your reference:
SharePoint App giving credentials popup
If an Answer is helpful, please click "Accept Answer" and upvote it.
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.