Wroten was the Grizzlies' first-round pick last year, 25th overall, but played in just 35 games and averaged 2.6 points as a rookie. He struggled shooting, making just 38 percent of his shots. His role was further reduced when the Grizzlies signed veteran wing Mike Miller last month.
In addition to signing Miller, Memphis signed guard Nick Calathes this week, further reducing Wroten's potential role.
It is likely the move was also partially financial for the Grizzlies, who will save $1.1 million on Wroten's salary and give the team some space below the league's luxury-tax threshold.
The 76ers, who recently hired Brett Brown to be their head coach after a protracted search, have been looking for a shooting guard. Starter Jason Richardson is expected to miss the start of the season as he recovers from left knee surgery. Wroten plays both guard spots but the Sixers have a bigger need at shooting guard because of Richardson.
Information from The Associated Press was used in this report.