say that … is; state that … isUsed after a noun or na-adjective plus だ to report, claim, or state that someone or something is a certain way. In actual sentences, 言う is often conjugated, as in 言った (“said”) or 言っている (“is saying”). The spelling という is also common, especially in less formal writing.
JA: 彼は父親が病気だと言ったが、それはうそだった。
EN: He said that his father was sick, but it was a lie.