Pryor's agent, Drew Rosenhaus, said it was a productive meeting and that he appreciated Goodell and the players' union taking time to hear the quarterback's side. Rosenhaus said he expected to have a ruling shortly.
Pryor didn't attend the meeting in New York. He practiced on his own at the Raiders' facility Thursday and wasn't available for comment.
Pryor was selected by the Raiders in the third round of the supplemental draft Aug. 22. Goodell suspended him, however, for the season's first five games for manipulating his eligibility for that draft.
Pryor originally said he wouldn't contest the ban, but he changed his mind and filed the appeal through the union.
Several members of the NFL Players Association's executive committee previously have expressed concerns about Goodell suspending a player who wasn't yet in the league.
Under terms of the suspension, Pryor can't practice or play until the week of Oct. 10. He can attend meetings and has been working out on his own after practices.
Pryor gave up his final season with the Buckeyes after an investigation into the team's memorabilia-for-cash scandal. He originally was barred from entering the supplemental draft, then was approved by Goodell, with the proviso he must sit out five games. Pryor was subject to a similar suspension had he returned to Ohio State.
Pryor signed a four-year contract with the Raiders a few days after being drafted but didn't appear in a preseason game.
Copyright 2011 by The Associated Press