The 6-foot-8 Parker, projected as a top-three pick if he decides to come out, said Friday that he will consult with Duke coach Mike Kryzyzewski next week to discuss his options. He has determined that he will not go on a Mormon mission.
"It's a very tough decision, especially potentially leaving behind my coach and the program that really helped me out this year, so I really have to keep them in consideration in this whole process," Parker said Friday on ESPNLA 710.
The deadline for underclassmen to announce their intentions is April 27. This year's NBA draft is set for June 26 in New York.
Parker said in the interview that he does not see staying in college for another season as a gamble.
"I think there's no risk," Parker said. "I think the community at Duke has really done a good job of taking care of my safety and they make sure that everything is done by the playbook.
"My parents, they come from different backgrounds. They don't even value money. My situation isn't the best, but they're not complaining and I've been going on this long, so why can't I wait another year? That's the mindset in my head that keeps me moving."
Parker finished an All-American season averaging 19.3 points and 8.8 rebounds per game. He was named the country's top freshman and finished second to Creighton senior Doug McDermott for the Wooden Award and Naismith Trophy as the nation's outstanding player.