"I appreciate your response" is correct and usable in written English. You can use it when you want to express gratitude for someone's response or feedback. For example: I really appreciate your response to my idea, it was really helpful.
Metzenbaum replied, "Well, I appreciate your response.
Bayh's response: "I appreciate your responses.
In, any event, Ambassador, I appreciate your responses.
Please see the reviewers' comments verbatim below and I will appreciate your response to these.
I greatly would appreciate your response and time taken to write it.
I appreciate your compassion, but your temporary emotive response to a chapter of my life doesn't help anyone.
I appreciate your counsel.
When I feel like I can't trust my brain 100%, Ludwig really comes in handy. It makes me translate and proofread faster and my output more reliable.
Claudia Letizia
Head Translator and Proofreader @ organictranslations.eu