I am currently using a Galaxy Tab A 2016 on Oreo and the above prompt pops up everytime I log in an app. Is there a way to disable this prompt?
For me on a Moto G9 with Android 10, the following worked:
In my special case I had some extra steps, because I was not able to access the "Password Manager" because I apparently used it at some point and would have needed my "Google Sync Passphrase" to get to the password manager. Therefore I first had to head over to https://chrome.google.com/sync in Chrome, login with my Google account, scroll all the way down and hit "CLEAR DATA" (which does reset all sync data, including bookmarks etc.).
Edit: Discovered another setting! Right above "Password Manager" there is "Signing in with Google" which has a "Google Account sign-in prompts" setting ("Allow Google to offer a faster way to sign in with your Google Account on supported third-party sites").
I found the answer after some exploration. Giving a gist,
You need to modify the Google Account Settings and modify the "Offer to save passwords" options.
Follow these steps: