The official added that Riyadh condemned all acts of terrorism by whoever the perpetrators, in an apparent reference to the beheading of a teacher in Paris this month by a Muslim angered by the use of caricatures of the prophet in a course on freedom of expression.
The images sparked anger in the Muslim world.
Turkish President Recep Tayyip Erdogan has called for a boycott of French products and the Pakistani parliament has passed a resolution urging the government to recall its envoy from Paris.
Several Arab professional associations have also announced a boycott.
Protests took place in Iraq, Turkey and the Gaza Strip, with protesters in the Iraqi capital, Baghdad, burning the French flag and marching over footage of French President Emmanuel Macron.
In Saudi Arabia, calls to boycott French supermarket chain Carrefour were all the rage on social media, although a representative for the company in France told Reuters news agency he had not yet felt an impact.
The Saudi foreign ministry’s statement Tuesday did not mention the boycott calls.
On Monday, Erdogan again lambasted his French counterpart, claiming for the third time that Macron needed a mental health check-up – a rebuke that prompted France to recall its ambassador from Ankara this weekend.
The Turkish president also urged European leaders to end what he called Macron’s “anti-Islam” agenda.
“European leaders with foresight and morality must break down the walls of fear,” Erdogan said in a speech at the start of a week of celebrations in Turkey to commemorate the birthday of the Prophet Muhammad.
“They must put an end to the anti-Islam agenda and the hate campaign led by Macron.”
The criticism came after Macron pledged to fight “Islamist separatism,” saying he threatened to take control of some Muslim communities in France.
Critics say Macron’s rhetoric encourages Islamophobia, incites hatred and alienates his country’s six million Muslims – the largest Muslim minority in Europe.
On Monday evening, the French Embassy in Ankara warned French nationals living and traveling in Turkey to exercise “great vigilance” because of the “local and international” context, urging them to avoid any gathering or demonstration in public places.