Many years ago I spoke to Rabbi Schwarcz about this. He certifies Jewish-owned businesses that are open on Shabbos, by setting them up with a heter mechira. On Shabbos the business is owned by a nochri, and the Jewish former owner is not allowed to set foot there. Al pi din this is 100% permitted, IF the business is not publicly known to be Jewish-owned.
He also makes a point of occasionally visiting his places on Shabbos, so they don’t think Shabbos is a “free day” when the rabbi will not come and they can do whatever they like.