The 18-year old Croatian forward joined the Blues from NK Zadar this summer and will continue his development away from Stamford Bridge for the 2013/14 campaign.
NAC technical director Jeffrey van As confirmed the signing of Perica and was looking forward to seeing him in action in the Eredivisie.
"A welcome addition to our selection," said van As.
"Perica is a type other than the strikers we already have.
"This player costs us nothing and speaks the language of our trainers."