^Maybe what you're remembering is the part where Harry Shearer's reporter character hears the Japanese eyewitness call the creature "Gojira" and mispronounces it as "Godzilla" -- and later, when he says it that way on the air, a roomful of Japanese tourists calls out "Gojira!" to correct him.
That doesn't happen in the movie, the only one who corrects him is Maria Pitillo's chaaracter in a bar.