The sentence "I would appreciate your response" is correct and usable in written English. You can use it when you are asking someone for a reply or response to a request you have made. For example: "I have attached my resume for your review. I would appreciate your response when you have had a chance to look it over.".
I greatly would appreciate your response and time taken to write it.
I need to get back home to get that done and I would appreciate your help".
I would appreciate your help.
I would appreciate your vote on Election Day".
I would appreciate your consideration to be a part of your team.
I'd appreciate your vote".
As he told person after person: "I'd appreciate your vote —I have a tough election in 25 days".
Awesome tool! I started using it one year ago and I never had to look for another app
Ha Thuy Vy
MA of Applied Linguistic, Maquarie University, Australia