When President Trump visited Britain in 2018 and met Queen Elizabeth II, he caused a social media stir by walking in front of the British monarch as they inspected her honor guard, forcing her to step around him — a breach of protocol.

On Thursday, a day after his first state visit to Britain ended, he raved in an interview with the Fox News host Laura Ingraham that he had developed a deep bond with the queen and that she had been very taken with him.

“There are those that say they have never seen the queen have a better time, a more animated time,” Mr. Trump said in the interview, which was taped in Normandy, France, in front of the graves of fallen troops on the 75th anniversary of the Allied landing.