The 20-year-old has signed a deal that will keep him at the club until the summer of 2014.
Technical manager of AZ Marcel Brands told the club’s official website: “We are very delighted with the signing of Ortiz. He is one of the biggest talents of Paraguay.
“He will come in January to Alkmaar as he first has to play at the World Cup Under 20 and then he would miss around four to six weeks before arriving at the club.”