'upon your request' is correct and usable in written English. You would use this phrase when someone is willing to do something once they have received a request from someone else. For example: "I'll drop off the package at your house upon your request.".
Additional references are available upon your request.
Several letters of recommendations will also be available upon your request.
Any reputable franchise business will provide a free packet of useful information regarding their business, startup costs, operating fees, training and support upon your request.
The Homeowners Protection Act of 1998 requires that a lender must cancel mortgage insurance upon your request if you have paid on time and your LTV has reached 80 percent or less.
The action has much more to do with the content of the program...Upon hearing your request, I made sure that that was true.
It does means that when negotiating you have to pay a fair amount of attention to each component of the discussion in order to manage the impact of that request upon your relationship with the other party.
Coming soon: Butler at the Door, a service that will fully staff your villa upon request.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com