This drew perturbed reactions from conservatives.
"I have been incensed at the vitriolic assaults on the Chick Fil-A company because the CEO, Dan Cathy, made comments recently in which he affirmed his view that the Biblical view of marriage should be upheld," Huckabee writes on the Facebook page calling for the protest to support the sandwich company.
He went on to accuse "the left" of too often taking a stand on "same sex marriage, abortion, or profanity" and of labeling Christians as "homophobic, fundamentalists, hate-mongers, and intolerant," if they "affirm traditional values."
Although Chick-fil-A's business stands to both benefit and suffer this week, the company has announced the appreciation day was not its idea.
Earlier it said it planned to stay out of the marriage debate.
"Going forward, our intent is to leave the policy debate over same-sex marriage to the government and political arena," the company announced in another statement.