Requests app can be embedded on websites using the requests IFRAME. If you need custom behaviour of Requests app for specific website, you will need to register your website on Rhizome Platform.
Doing so, creates dedicated web-property entity assigned to your website that allow us to store custom information for specific apps.
Each web-property has unique ID that you need to add as argument to URL of IFRAME. Here is an example of IFRAME URL with dedicated property id.
<iframe frameborder="0" id="app-iframe" scrolling="yes" src="https://live-rhz-account.pantheonsite.io/sites/all/modules/rhz_services/requests/client/dist/prod/mobile.html?property_id=xyz123abc" style="border:none;width:100%;height:700px"></iframe>
Web-property is still a closed feature for testers. Contact support to register for interest in this feature and we will let you know once available for all users.