Smith said he supported Meyer's decision to not suspend the players involved in the fight.
"(Hall) made a bad, emotional mistake," Smith said. "It's a teachable moment for him and all of our players. So whatever the conference does and Urban does, I'm going to support them."
Meyer said the players had already served their suspension for fighting.
"Throwing a punch, the rules are clear that you lose a game — and they lost their game," Meyer said.
After Wilson returned a kickoff in Saturday's 42-41 victory at Michigan, a melee broke out. Wilson was surrounded by Wolverines defenders. There was shoving by players from both teams, then Wilson had his helmet ripped off. That led to several players throwing punches.
The fight was a hot topic on social media. Ohio State fans said Wilson did not start the fight. Others said Meyer and the Big Ten should suspend Hall and Wilson for the Big Ten title game. There were also calls for additional Michigan players to be punished for their roles in the fisticuffs.
Hall later apologized on his Twitter account.
"I let my emotions get the best of me and didn't conduct myself properly in the heat of the moment," he said in his post. "My actions do not reflect who I am as a person and teammate. I love The Ohio State University and appreciate everything it has done for me. From the bottom of my heart, I am truly sorry and hope everyone can accept my sincere apology."
Meyer did not say what team punishment the players might face.
Follow Rusty Miller on Twitter: http://www.twitter.com/RustyMillerAP