The USA international moved to the Stadium of Light from the Eredivisie side on Tuesday, putting pen to paper on a four-year deal.
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"I’m really pleased because a new arrival can benefit the squad and also individuals because there is competition up front," the Italian told the club's official website.
"Altidore is one of the top strikers in Europe. He only joined us on Tuesday but I’m very happy, curious and excited because I have a very good attacking side at the moment."
Altidore's transfer marks his return to English football, having featured for Hull City in the 2009-10 campaign while on loan from Villarreal, and recently spoke of his eagerness to impress in the Premier League.