YITH WooCommerce Quick View allows the users to get a quick view of the product for which they are interested. The product details will be shown in a popup, so they don’t need to leave the current page.
The integration between these two plugins allows showing the Add to quote button also in the quick view popup.
After installing and activating both plugins, you need to go to YITH Quick View > Content Options and enable the option Show Request Quote button.

With the option enabled, the Quick View popup will include the Add to Quote button as shown below.

For further details about YITH Quick view settings, please refer to the official documentation.