ESPN and The Washington Post reported that during Garrett's appeal hearing this week in New York he alleged that Rudolph used a slur. The Steelers issued a statement saying Rudolph disputed the allegations.
Rudolph's agent also released a statement saying "the malicious use of this wild and unfounded allegation is an assault on Mason's integrity."
Garrett issued a statement on Twitter later Thursday responding to the reports.
"I was assured that the hearing was space that afforded the opportunity to speak openly and honestly about the incident that lead to my suspension," Garrett wrote. "This was not meant for public dissemination, nor was it a convenient attempt to justify my actions or restore my image in the eyes of those I disappointed.
"I know what I heard. Whether my opponent's comment was born out of frustration or ignorance, I cannot say. But his actions do not excuse my lack of restraint in the moment, and I truly regret the impact this has had on the league, the Browns and our devoted fans."
Rudolph spoke to reporters Wednesday and read a prepared statement in which he said he regretted his actions last week.
"I'm not going to say anything about what Myles and I talked about," Kitchens said. "I'll support Myles in every way possible."