Suh reportedly called Goodell on Sunday night to apologize for the incident.
After initially saying he was only trying to walk away from the situation, Suh issued a statement Friday that - in a roundabout fashion - took responsibility for stomping on Dietrich-Smith.
Suh was ejected in the third quarter following the incident, which began with Dietrich-Smith and Suh tangling on the ground and Suh bouncing Dietrich-Smith's head to the turf three times. After getting up, Suh then stomped on Dietrich-Smith's right arm before walking away.
"In the past few hours, I have had time to reflect on yesterday's game and I want to sincerely apologize for letting my teammates down, the organization, and especially to my fans who look to me for positive inspiration," Suh said in a statement released on his Facebook page.
"Playing professional sports is not a game. It is a profession with great responsibility, and where performance on and off the field should never be compromised. It requires a calm and determined demeanor, which cannot be derailed by the game, referee calls, fans or other players.
"I want to reiterate my commitment to working to become a better player, and professional -- on and off the field. My reaction on Thursday was unacceptable. I made a mistake, and have learned from it. I hope to direct the focus back to the task at hand -- by winning."
The statement was a stark contrast to Suh's post-game comments Thursday, which drew wide criticism.
"I am only apologizing to my teammates, coaches and my true fans for allowing the referee to have the opportunity to take me out of the game," Suh said after the game. "What I did was remove myself from the situation in the best way I felt. I was being held down. My intentions were not to kick anybody, as I did not. As you see, I was walking away from the situation."
Suh has already been fined three times in less than two years in the NFL, and met with Goodell last month to discuss the hits that let to those fines.
Suh's ejection was a pivotal play in the Lions 27-15 loss to the Packers. It was 7-0 and the Lions had just stopped a third-and-goal pass at the 3. The Packers' field goal team was trotting onto the field when Suh and Dietrich-Smith became entangled.
Dietrich-Smith wasn't sure what Suh's intentions were but he was sure that it wound up helping his team.
"It's a battle out there," he said. "It's not a slap and tickle game. You go out there, play hard, hit each other and stuff just happens. They ended up taking a penalty and it ended up hurting their team as a whole."
Packers cornerback Charles Woodson called it "a dirty play."
Dietrich-Smith said he didn't know what provoked Suh to go off.
"If he takes a shot, he takes a shot," Dietrich-Smith said. "I'm not out there trying to incite extra things or do any extra stuff. Stuff happens out on the football field, and it gets a little intense.