Can I add out-of-stock products to the quote?
Since v. 2.11.0 of Request a Quote Pro extension, we have added a feature to include simple, virtual, and downloadable out-of-stock products when creating quotes. You can find the ‘amasty/module-request-quote-out-of-stock’ and 'amasty/module-request-quote-out-of-stock-hyva’ (for Hyva Theme) packages for installing in composer suggest. Please note that the modules are available as a part of an active subscription.
Once the package is installed, a new setting Allow Quotes with Out of Stock Products would appear in Amasty > Request a quote > Configuration. If the setting is enabled, simple, downloadable, and virtual products with out-of-stock status can be added to the quote, and a quote with out-of-stock products can be approved:

Please note that the settings do not affect bundle, grouped, configurable, or gift card products—they would be displayed on the frontend as before, without the "add to quote" button.
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