A bouncing, loose puck on a Sabres clearing attempt got to Panarin in the left circle, and he made it 2-1 at 16:10 of the second period.
Lafreniere almost scored his first goal 54 seconds into the third period but was stopped by Ullmark with a quick pad save.
"Obviously everybody talks about his world-class talent, but this guy is a [gutsy] kid. He really is," Quinn said. "I don't care if he's the first pick or the 271st pick, he's a [gutsy] kid. … He probably should have had four goals tonight, but for him to get his first goal in that moment, in that situation under those circumstances, I couldn't be happier for him. His game is coming. He's playing better and better each night. It's just great to see, it really is."
NOTES: Lafreniere is the Rangers player to score his first NHL goal in overtime (regular season or playoffs), after Paul Thompson (Nov. 30, 1926), Sergei Nemchinov (Oct. 5, 1991) and Mats Zuccarello (Jan. 5, 2011). … Rangers forward Kevin Rooney played his 100th NHL game. … The Sabres defeated the Rangers 3-2 on Tuesday.