In Chrome, when using a profile, there is an avatar menu button on the top-right corner. The first time the browser starts after profile is created, the profile name is displayed with the avatar, but after some seconds, it disappears, we can only see it after clicking the button.
[avatar+profile-name] (After some seconds, profile-name disappears) ↓
[avatar]
I want it to show always, how can I do that?
(Sorry, I can't post images yet)
This function is held within the chrome theme it self so no there is no simple way to do this without writing your own theme.
EDIT:
I took a second look at this and I'm updating this with a more accurate/useful answer. There is no key-pair associated with name display within the Chrome preferences file re-writing the chrome theme might not actually work. A simpler/more effective way to achieve this would be to create a Tampermonkey userscript to dynamically inject CSS into the browser or create a Chrome Extension to inject the CSS more permanently. The container element selector for the profile image is #profile-avatar.
An alternative solution is to display the profile name as a bookmark.
Go to https://bookmarkseparators.com, choose a separator and a colour, drag it to your bookmarks bar and give it a name. I've also used a Chrome-style vertical separator to separate the profile name from the rest of the bookmarks.
This is how it looks:
