The phrase "announced that it would continue" is correct and usable in written English.
You can use it when reporting on a statement made by an organization or individual regarding their ongoing actions or plans.
Example: "The company announced that it would continue its expansion into new markets despite the economic challenges."
Alternatives: "stated that it would persist" or "declared that it would carry on".
Mr. Moon said the North had publicly announced that it would continue with its nuclear efforts if international sanctions against the government remained in place.
On Thursday, though, United announced that it would continue with its efforts to complete the transaction -- perhaps because in the interim, US Airways began to analyze the possibility of a lawsuit arguing that United's withdrawal was not consistent with making reasonable efforts to get the deal done.
Undeterred, the Royal Navy announced that it would continue to refer to its vessels in the feminine.
The military government announced that it would continue to recognize treaties, including the 1979 peace treaty between Egypt and Israel.
Last Wednesday, the U.S. Federal Reserve announced that it would continue to buy large amounts of Treasury securities and mortgage-backed securities until the job market improved.
While the organization is making no long-term commitment to the stakes program, which currently affects 121 races, it announced that it would continue at least for one more year.
Moody's responded to G.E.'s action by announcing that it would continue to consider a possible downgrade from Aaa, its highest rating.
But the issue continues to simmer, with the Chinese government announcing that it would continue to send surveillance vessels to waters around the island that have been patrolled for decades by Japan's Coast Guard.
But then in July, the company indicated that it wasn't done yet, announcing that it would continue funding other leading institutions to the tune of £7.5m over the next five years.
The Fed's policy-making committee said much the same thing in a stilted statement issued just before Mr. Bernanke took questions, announcing that it would continue to hold down short-term interest rates and buy $85 billion a month in Treasuries and mortgage-backed securities.
The Health Department announced that it would "stay vigilant and continue to work closely with the W.H.O. and other overseas health authorities to monitor the latest development of this novel infectious disease".
