The phrase "authorities wrote" is correct and usable in written English.
It can be used when referring to something that has been documented or stated by official bodies or organizations.
Example: "In their report, the authorities wrote that the new regulations would take effect next month."
Alternatives: "officials stated" or "the government reported".
British authorities wrote Napoleon that he would be confined there to prevent him "from disturbing the repose of Europe".
The Telegraph reported that the authorities wrote to Miller on three occasions to ask her to confirm that she would pay tax when she sold it.
The authorities wrote to Larry Page, the chief executive of Google, to "call for a pause in the interests of ensuring that there can be no misunderstanding about Google's commitments to information rights of their users and E.U. citizens".
Most recently, lawyers representing the local authorities wrote to the government's airport capacity directorate on 30 September 2016 calling for a consultation "in advance of any decision", claiming that consulting councils afterwards would represent a "sham".
Han Han, one of the country's most popular bloggers (and a huge irritant to the authorities), wrote that killing the weak was seen by the attackers as the most effective way of exacting revenge on a society "that has no way out".
When the authorities wrote to him to confirm his temporary exemption from the draft and asking him to complete certain bureaucratic formalities, he replied that he would comply if they would address him with the honorific 'Mr', as they did his white colleagues.
Libya Gaddafi loyalists are far from beaten in the town of Bani Walid where their continuing resistance is creating mayhem and a major problem for the Libyan authorities, writes Chris Stephen.
But thousands of motorists now become amateur sleuths, chronicling confusing "signs and lines" in a battle against the authorities, writes Neil Bennett.
I manage clinical trials and project teams, track timelines, budgets, and deliverables; contribute to the planning of clinical protocols and programs, including Phase 1 through Phase 3; write documents for submission to regulatory authorities; write, write, and did I mention that I write?
On the 16th anniversary of Chernobyl, the Swedish radiation authorities, writing in the Stockholm daily Dagens Nyheter, admitted over-reacting by setting the safety level too low and condemning 78% of all reindeer meat unnecessarily, and at great cost.
Calderon appeared to re-ignite the long-running dispute between federal and state authorities, writing that "the vulnerability of state law enforcement institutions must be corrected".
