The phrase "a badge that read" is correct and usable in written English.
It can be used when describing a badge that has text or information displayed on it, often in a narrative or descriptive context.
Example: "He wore a badge that read 'Volunteer of the Year' proudly on his chest."
Alternatives: "a badge that said" or "a badge displaying".
Mr. Mardini wore a badge that read simply People's Committee in red Arabic.
Dr. Michael Donnan, 26, who hours earlier donned a badge that read, "M.D.," was in charge of the crisis.
I was given a badge that read "Flirt harder, I'm a physicist" which I immediately dropped into the bottom of my rucksack, and a registration form.
After leaving earth, Bill discovers a woman concealed in a potato sack whose handbag contained, among other things, "a badge that read: Special Investigator, F.B.I".
In 2014, Couch, who was carrying a badge that read "Lakeside police," identified himself as a reserve police officer when questioned by actual officers, the Star-Telegram wrote.
The next day, John Sweeney, the president of the A.F.L.-C.I.O., gave her a plastic badge that read "sheriff".
Around his neck, he wore an ID badge that read:, "NYC Incident Response.
Better yet, newlyweds can stop by the guest relations desks at Disney World theme parks for a set of badges that read "Just Married" for special perks like free drinks.
Indeed, hundreds of Mr. Paul's supporters, wearing badges that read "Is Justice a Joke in Ellisville?" packed a linoleum-tiled elementary school gymnasium this week for an impeachment hearing that spanned three days and went late into the night.
In the late sixties, American students liked to sport badges that read "Gandalf for President," and one can picture them musing long and hard on Bilbo Baggins, discovered by Frodo in the chill-out sanctuary of Rivendell: "Time doesn't seem to pass here," Bilbo says.
