How to call a function on particular page like ‘contact-us’ from function.php of child theme

The problem is that you’re trying to use is_page(), a conditional function intended only to run adjacent to the query, too early. Try running your code inside a callback that 1) only fires on the front-end, 2) fires after the page has partially loaded. For instance, wp_head.

function prefix_run_on_contact_us() {
    if( is_page('contact-us')) {
        echo "hello check"; 
        //either in about us, or contact, or management page is in view
    } else {
        echo "Not working";
    }
}
add_action( 'wp_head', 'prefix_run_on_contact_us' );