Remove Custom Taxonomy Metabox from Custom Post Type Screen

If you are manually registering your custom taxonomy via register_taxonomy then you can pass in arguments to control where the metabox appears.

In the example below setting show_ui to false would completely remove the metabox from the edit screen, the quick edit screen, and the admin menu. But if you set show_ui to true you can achieve more nuanced control by then using the show_in_quick_edit and meta_box_cb arguments (setting the later to false hides the metabox on the CPT edit screen as desired).

register_taxonomy( 'your_custom_taxonomy', array( 'your_custom_post_type' ), $args );
$args = array(
    'show_ui'                    => true,
    'show_in_quick_edit'         => false,
    'meta_box_cb'                => false,
);