evidence: Despite what Sen. Lindsey Graham and other Republican lawmakers have suggested, New York is not forcing Chick-fil-A to open on Sundays. Why Chick-fil-A closes on Sundays Chick-fil-A says the practice of closing on Sundays was started by its late founder, S. Truett Cathy, and has continued to today. "Closing our business on Sunday, the Lord's Day, is our way of honoring God and showing our loyalty to Him," Cathy, who died in 2014, wrote in his 2002 book.