According to al-Alam, the designated PM said on Friday that he will start consultations with other political groups to form his cabinet.
Larayedh, who was the former interior minister, also called on Tunisians to make further efforts to “fulfill the goals of the revolution”
Late on Thursday, Tunisia's ruling Islamist party, Ennahda, named Larayedh as the new prime minister after his predecessor resigned this week.
Like his predecessor Hamadi Jebali, Larayedh was for many years a political detainee.
For the last 14 months he has headed the interior ministry, going to work in the same building where he was once tortured.
The appointment does not end the country's political crisis, as Larayedh will be under pressure to appoint non-party figures to key cabinet posts, including at the interior ministry.
Adnane Mancer, a spokesman for Tunisia's president, Moncef Marzouki, said although Larayedh had two weeks to put together his cabinet it would be preferable for the nominations to be made in the next few days.
Larayedh, 57, has had mixed success at the unsettled interior ministry, which controls the police and National Guard. Many officials there continued in their posts after the 2011 revolution that overthrew the regime of Zine al-Abidine Ben Ali.