"Communication" is an uncountable noun so it does not require an article.
The correct version is "to have good communication with someone."
For example:
I have good communication with my boss and coworkers.
My partner and I have good communication.
Alternatively you could use "conversation" which is a countable noun. For example:
I had a good conversation with my friends at the bar.
My parents and I had a good conversation on Wednesday.