The 49ers went on to beat the Browns 31-3, and Sherman claimed that he and others were provided extra motivation in the game when Mayfield refused to shake hands during the pre-game coin toss.
A video later emerged of Mayfield shaking the hands of Sherman and DeForest Buckner, as well as hugging tight end George Kittle.
"It's definitely my bad," Sherman told McAfee. "I never want anybody to deal with some sh-t that -- I mean, some stuff -- that they didn't do. And so, you know, the questions that he's gonna get and the annoying, nonsense questions about some stuff that happened in a game that's already been done, you know, sure he'll get an apology for that.
"I'll probably reach out to him via text or social media to actually get a hold of him and talk to him on the phone. But yeah, because that sucks.
"But first off, that was a great name you all came up with — DapGate. I was crying laughing. But yeah, yeah, he definitely deserves an apology, and that's my bad on that."
Sherman went on to say that he may have remembered what transpired during the coin toss differently or could have described the incident more accurately, reports ESPN.
"Sometimes you remember things a little differently than it happened," Sherman said. "Obviously it still motivated me the same way."
The 49ers, meanwhile, have moved on from Monday night's win and are focused on this weekend's matchup against the Los Angeles Rams in Southern California.
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