I am trying to get only facebook profile picture using embed code but page name and like button display in the preview.
<div class="fb-page"
data-tabs=""
data-href="https://www.facebook.com/facebook"
data-width="10"
data-hide-cover="true"
data-show-facepile="false"
data-small-header="true">
You might be able to put the button in a div with a fixed width and overflow hidden, but ultimately this widget is not intended for this use.
There is an API endpoint intended for this use, though - /[user/page ID]/picture
.
So, you can simply do <img src="https://graph.facebook.com/page-id/picture">
.
For example: https://graph.facebook.com/facebook/picture