"He's a coward," Landry said Thursday. "I think he knew that maybe behind my back he'd do things like that, but to my face, he wouldn't. ... Now I know. Everybody knows the type of player he is, the type of person he is."
Peters, however, issued a statement Thursday denying that he intentionally spit at Landry.
"I didn't spit at Jarvis. Where I come from, when you have an issue with someone, you deal with it face-to-face, man-to-man," Peters said. "Anyone who believes that I intentionally spit at him does not know me -- plain and simple."
The incident occurred at the end of the first quarter of Monday Night Football. Landry said he didn't realize Peters had allegedly spit at him until after the game, upon watching a replay of the ESPN broadcast.
"Wait until I turn around and do something like that? It's like, do it to my face," Landry said. "Be a man about it if you're going to do something like that."
Asked if he was concerned the spitting might violate any NFL COVID-19 protocols, Landry responded with, "If there's a protocol for being a man, that sure ain't it right there."
On Friday, Ravens coach John Harbaugh said he spoke with Landry after the game and that he didn't think Peters directed his spit at Landry.
"No way would Marcus do that," Harbaugh said. "I know Marcus really well. That's not really his style anyway. If he was upset, he wouldn't be doing that. What he did was he spat in a direction. It wasn't in anybody's direction, per se. You can tell that on the clip. That's where I stand with it."
Browns coach Kevin Stefanski declined to comment on the situation when asked Friday.
The Ravens wound up defeating the Browns 47-42 in one of the top games of this NFL season.
Landry said he would remember the spitting the next time he meets Peters on the field, which could be in the AFC playoffs should the Browns and Ravens both advance to the postseason.
"I won't lose sleep," Landry said. "But definitely going to make it another game to remember."
ESPN's Jamison Hensley contributed to this report.