记 (jì) here is the classic Cantonese / southern shop suffix meaning roughly 'X's place / X's shop' (
英文 'X & Co.'). Any surname can take it:
陈记,
黄记,
李记 — small, often family-run, and hugely common as restaurant and snack-stall names.
张记 by itself isn't a single brand; it's a pattern name.