Remove css styles from specific page

You can use conditional tags to target the specific page you need to remove the styles on. You can use is_page() to target a page page (as opposed to another post type) and pass a page ID, slug, title, or no argument to target any page.

function wpse_217881_remove_scripts() {

    // Check for the page you want to target
    if ( is_page( 'About Me And Joe' ) ) {

        // Remove Styles
        wp_dequeue_style( 'parent-style' );
        wp_dequeue_style( 'child-style' );
        wp_dequeue_style( 'parent-style-css' );
        wp_deregister_style( 'parent-style' );
        wp_deregister_style( 'child-style' );
        wp_deregister_style( 'parent-style-css' );
    }
}

I’m assuming you already are, but to be explicit, you should be calling the function that dequeue/deregisters the styles from an action hook – in this instance wp_enqueue_scripts.

From the wp_enqueue_scripts docs:

Despite the name, it is used for enqueuing both scripts and styles

add_action( 'wp_enqueue_scripts', 'wpse_217881_remove_scripts' );

// Optionaly add a priority if needed i.e:
// add_action( 'wp_enqueue_scripts', 'wpse_217881_remove_scripts', 20 );