Is it correct to say thank you for being patient?

This is not correct. Don’t use this phrase. You probably want to use the word “patience” here instead of “patient.” The word “patient” can be an adjective or a noun, but as a noun, it means someone who is undergoing medical treatment.

How do you say I appreciate patience in an email?

I thank you for your patience and that of the Members. So I thank you for your patience and your discipline.

How do you use patience and patient in a sentence?

In this case, the “patients” (individuals seeking medical care) were “patient” (showed a calm willingness to wait) to see the doctor. You can correctly use the noun form of each word and say essentially the same thing: The “patients” showed great “patience” as they waited to be seen by the doctor.