The phrase "asserted that they acted" is correct and usable in written English.
You can use it when discussing someone's claim or statement regarding their actions or behavior.
Example: "The witnesses asserted that they acted in self-defense during the incident."
Alternatives: "claimed that they acted" or "stated that they acted."
Because there were no arrests, officials have been left to assert that they acted out of an abundance of caution.
All independently asserted that they would only act on overuse if the percentage exceeded 175%, and considered that if a patient were regularly overusing drugs the percentage figure showing in red would creep up with time.
Chinese health officials assert that they have acted promptly upon laboratory confirmation of cases.
The First Law asserts that bodies not acted upon by an external force will move with constant velocity; similarly for the Second Law and acceleration.
"Whilst we have every sympathy with the family and the position they find themselves in, we have always asserted that we acted properly in accordance with the rules and guidelines current at the time".
Donald Fehr, the union chief, welcomed the contraction decision but said, "It is regrettable that the clubs continue to assert that they can and will act unilaterally, rather than by negotiation and agreement".
He asserted that he acted alone in all cases, the police report stated.
Kinko's has periodically asserted that it acted at the instruction of the educational institution, that is, as the agent of the colleges and is without responsibility.
Others asserted that Dolan acted out of spite, in response to Lin's signing the deal after initially agreeing to a lower figure with the Rockets.
A classic example of this view is given in Sophocles' play Antigone, in which the title character, upon being reproached by King Creon for defying his command not to bury her slain brother, asserted that she acted in accordance with the immutable laws of the gods.
