The phrase "address the matter" is correct and usable in written English. You can use it when referring to dealing with an issue, problem, or topic. For example, "We must address the matter of the company's finances before the end of the month.".
Terry declined to address the matter.
He has declined to address the matter.
Mr. Flores would not address the matter.
Lamoriello refused to address the matter tonight.
Walsh declined to address the matter Friday.
Only then did Trump address the matter at hand.
They will address the matter with the necessary urgency".
Thanks to Ludwig my first paper got accepted! The editor wrote me that my manuscript was well-written
Listya Utami K.
PhD Student in Biology, Bandung Institute of Technology, Indonesia