"He's got to understand that it's in the organization's best interests to slide, and that was disappointing," said Ryan, who added it's uncertain whether Sanchez will be able to play at Tampa Bay on Dec. 13. "I love the kid, but he's got to grow up and understand that he represents our entire organization."
Ryan said Sanchez would likely undergo an MRI for precautionary measures.
Sanchez appeared to be hurt when he dived head first to end an 8-yard run on New York's second possession of the second half on Thursday night.
He stayed in the game for two more plays before being replaced by Kellen Clemens.
"It started to hurt shortly after that play," Sanchez said. "It just didn't feel right when I got back to the huddle. I put some weight on it to bend down under center and it just didn't feel right when I tried to hand it off and get it to [David] Clowney on the end-around."
Sanchez was disappointed in himself for the way he got hurt.
"I'm probably going to take some heat for not sliding. But in the heat of the momentum I was just trying to get the first down," Sanchez said. "Tough play."
And yet, he was hopeful he won't miss any playing time.
"I'm optimistic," Sanchez said. "I'll do anything I can to play next week."
Sanchez had hurt his other knee in a 17-6 win over Carolina last weekend, which led to the team bringing in Yankees manager Joe Girardi to provide sliding lessons for the first-year quarterback.
He was 7-of-15 for 104 yards and a touchdown pass against Buffalo.
Information from The Associated Press was used in this report.