"As you can imagine, the last two years have given me time to re-evaluate my life, mature as an individual and fully understand the terrible mistakes I have made in the past and what type of life I must lead moving forward.
"Again, I want to thank the commissioner for the chance to return to the game I love and the opportunity to become an example of positive change."
The announcement came after a busy first week of freedom for Vick, who met with union leaders and Goodell on consecutive days last week. His 23-month federal sentence ended when an electronic monitor was removed from his ankle early on July 20 at his home in Hampton, Va.
He met with DeMaurice Smith, executive director of the NFL Players Association, last Tuesday and, on Wednesday, he sat down with Goodell at a security firm in Allendale, N.J.
But his issues are far from over. Already, the owners of the New York Giants and New York Jets said they have no interest in the 29-year-old quarterback, who once was the league's highest-paid player.
AP Sports Writer Hank Kurz in Richmond, Va., contributed to this story.