The sentence is correct and usable in written English. You can use it when you want to express your gratitude for someone's prompt response. For example: "Thank you for your quick response. I really appreciate it!".
Largely because of "your quick response and professional manner," the girl recovered, her mother wrote.
"Mr Bay, thank you from the bottom of my heart for your apology and your quick response to this," Thompson wrote.
Your quick response shows employees that they have someone looking after them.
You'll be appreciated for your presence.
Do you feel appreciated for your work?
"I appreciate this quick response from the Army, which has worked to find a way to accommodate this family," it said.
I would appreciate a quick response.
I love the desktop app, it’s always running on my Mac. Ludwig is the best English buddy, it answers my 100 queries per day and stays cool.
Cristina Valenza
Retail Lead Linguist @ Apple Inc.