WooCommerce – Header product search
You can enable product search icon in the header.
Go to Customizer -> WooCommerce -> Cart/Account/Wishlist/Search icons and enable “Product Search Icon”
Ajax Search
Theme supports free WooCommerce ajax search plugin – Ajax Search for WooCommerce
You can install and enable the plugin. This will automatically replace standard theme search field with the plugin search field.
To setup the plugin options and search layouts go to: WP Dashboard -> WooCommerce -> Ajax Search form