Tressel resigned May 30 amid allegations that he knew players, including Pryor had received improper benefits and may have lied to NCAA investigators about the incidents.
"In terms of Ohio State, I'd like to say sorry to the coaching staff, say sorry to my teammates, say sorry to all the Buckeye Nation and all the Buckeye fans throughout the country," Pryor said. "I never meant to hurt anybody directly or indirectly"
Pryor didn't take questions after making his statement.
Pryor last week said he was leaving the school and hired agent Drew Rosenhaus to pursue a career in the NFL.
Pryor and other Ohio state players are alleged to have sold memorabilia. That is considered a violation of NCAA rules and led to the players receiving a five-game suspension, which was to have been served this fall.
Pryor offered an apology directly to Tressel, saying, "I apologize for being in a situation that (has taken) you out of a job and a place you live to be."
The Buckeyes were 31-4 in Pryor's three seasons at quarterback.