how to get nav menu list through menu name in wordpress

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I think you’re looking for the wp_nav_menu() function, which deals with the navigation menus that you create in the WordPress admin (Appearance > Menus)

You can call it like this:

<?php wp_nav_menu( array( 'menu' => 'Header Menu' ) ); ?>

Where Header Menu is the name of the menu you want to print. There are other parameters available.