Nope, they all have to close on Sundays regardless of location.
“Chick-fil-A founder S. Truett Cathy is a devout Southern Baptist who has taught Sunday School for over 44 years and whose religious beliefs permeate the company to this day. The company’s official statement of corporate purpose says that the business exists “to glorify God by being a faithful steward of all that is entrusted to us and to have a positive influence on all who come in contact with Chick-fil-A.” The chain invests heavily in community services (especially for children and teenagers) and scholarships. Cathy’s beliefs are also responsible for one of the chain’s distinctive features: All Chick-fil-A locations (company-owned and franchised, whether in a mall or freestanding) are closed on Sundays.
Our decision to close on Sunday was our way of honoring God and directing our attention to things more important than our business. If it took seven days to make a living with a restaurant, then we needed to be in some other line of work. Through the years, I have never wavered from that position.
S. Truett Cathy”
He might not have, but I’ve been to plenty of malls where CFL was open on Sunday.