apply_filters ( 'jetpack_publicize_capability', string $capability )

Notes

You can use that filter to change required capability to access Publicize options. In the example below, we’ll change the capability to edit_posts:

function jeherve_publicize_capability() {
    return 'edit_posts';
}
add_filter( 'jetpack_publicize_capability', 'jeherve_publicize_capability' );