The phrase "asserted that it would" is correct and usable in written English.
You can use it when reporting someone's claim or statement about a future action or event.
Example: "The company asserted that it would launch the new product by the end of the year."
Alternatives: "claimed that it would" or "stated that it would".
Also with regard to the involvement of community groups, one representative asserted that: "it would rather be the responsibility of the borough" (CW2) to include the community groups in the process.
In 1982, in his comparative study of Britten and Tippett, Whittall asserted that "it would be difficult to claim that any of the works [Tippett] has begun in his seventies are the equal of earlier compositions".
The coalition has asserted that "it would be far preferable to join with other countries to penetrate a smaller and more isolated lake before re-examining whether penetration of Lake Vostok is environmentally defensible.
Kristol asserted that "it would be crazy for the Democratic Party to follow an establishment that's led it to defeat year after year," and added, "White women are a problem, that's, you know -- we all live with that".
One person who has participated in the many meetings on the review said there was a realization that Credit Suisse First Boston can't be "all things to all people," but asserted that it would continue to serve its top-tier clients.
Rumour, which never shrinks from busying itself with the "intentions" even of those authors who are least inclined to feel its appetite, had persistently asserted that it would be long before Middlemarch would be followed by another work of prose fiction.
Most telling of all, the United States never wavered in asserting that it would use its Security Council veto against Mr. Boutros-Ghali, making efforts to push his candidacy in council deliberations an exercise in futility.
But it has never directly acknowledged possessing chemical weapons, either, and asserts that it would not use them -- "if they exist" -- against its own people.
At a news conference, Mr. Otellini defended the approach, asserting that it would not result in any performance disadvantage.
