Hi Aleksandr,
Are you referring to the status button(http://take.ms/yIPzw)? If yes, unfortunately, this is a core application so it cannot be disabled.
If you really want to, maybe you can disable it with custom css.

Yes.
Specify, please, the name of the file and the path to it from the kernel.
And please indicate the name of the scc file and the path to it.

Hey Aleksandr,
May I know on which page do you want to disable this button? Is it just the dashboard page? Or disable this button from the whole of EasySocial(means that profile, groups, events, pages etc will not have this button too)?
If you are unsure, you can provide me the url of the page that you want to hide this.

Hey, Raymond,

Disable this button from the whole of EasySocial.

Hey Aleksandr,
Can you try using the following custom css codes. Apply this into the custom.css file in JoomlaFolder/templates/yourCurrentTemplate/html/com_easysocial/css/custom.css(create directory and file if it does not exist)

#es .es-story-panel-button[data-story-plugin-name="text"] {

	display: none !important;

}

Let us know if this works. If it does not, can you provide me your site access as I would like to take a look at the site. Thanks.