"I appreciate your patience" is a correct and usable sentence in written English. You can use it to show gratitude when someone has waited for something or been understanding even in a difficult situation. For example: "I apologize for the long wait time on the phone. I appreciate your patience."
I appreciate your patience.
I appreciate your patience," he wrote.
I'm sorry not to get to more of them and I appreciate your patience with my slow typing.
"I appreciate your patience and understanding.
My name is Jason, and I'm back after a week away, before another week away, and I appreciate your patience.
I appreciate your patience, as I gather evidence and relevant information, since I only became aware of the allegations about my work on the evening of May 19 , 2015 when the not peer-reviewed comments in 'Irregularities in LaCour (2014),' were posted publicly online.
I cannot tell you how much I appreciated your patience and easygoing demeanor over what I thought was a major catastrophe.
So I have become much tougher!!! BUT I so appreciate your patience and your letting me read this.
I will appreciate your patience and caring enough to listen when I need to talk.
"I do appreciate your patience in this matter and assure you that all of us in this office are focused on reducing case backlog and eliminating delays".
I really appreciate your patience.
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK