Ensure that you are using the latest version of Google Chrome. Outdated versions may have bugs or issues. Chrome often updates automatically, but you can check manually by going to "Settings" > "About Chrome."
If Chrome doesn’t offer to save the password, make sure that the password-saving feature is actually enabled. To check this, go to Settings > Autofill > Password Manager. If the Offer to save passwords option is switched off, toggle it on.
Kindly go through the following: