"I have real questions here," Cramer said on "Squawk on the Street." "There's a supply-chain management line: The supply-chain revenues are 56 percent of the revenues of the parent; that's money that the franchises pay to the parent, and it wasn't what I was expecting. We have to learn more."
The company posted earnings per share of 67 cents on revenue of $484.7 million. Analysts polled by Thomson Reuters expected Domino's to post earnings per share of 74 cents on revenue of $487.1 million.
Domino's shares opened sharply lower and are now down more than 8 percent in the last three months.
DISCLOSURE: Cramer's trust did not own Domino's shares when this article was published.