How did Chick-Fil-A gets its name?br Chick-fil-A founder Truett Cathy came up with the name for the chain.br She was looking for what to call the chicken sandwich he had spent years perfecting.br Cathy decided the boneless breast could be considered the fillet of chicken, or chicken fillet.br To distinguish Chick-fil-A, he tweaked the spelling, capitalizing the "A" to represent "top quality.