der_loeffel

would be nice to have such an option in the config menu anyway :)))

I already found it!

Just changed the

<?php $header_image = get_header_image();
			if( !empty( $header_image ) ) :?>
				<img src="<?php echo esc_url( $header_image ); ?>" class="header-image" width="<?php echo get_custom_header()->width; ?>" height="<?php echo get_custom_header()->height; ?>" alt="<?php echo esc_attr( get_bloginfo( 'name', 'display' ) ); ?>">
			<?php endif; ?>

to

<?php if( !is_page('page-ID') ) :?>
	<?php $header_image = get_header_image();
			if( !empty( $header_image ) ) :?>
				<img src="<?php echo esc_url( $header_image ); ?>" class="header-image" width="<?php echo get_custom_header()->width; ?>" height="<?php echo get_custom_header()->height; ?>" alt="<?php echo esc_attr( get_bloginfo( 'name', 'display' ) ); ?>">
			<?php endif; ?>
	<?php endif;?>

Thank you!