Draisaitl had Alex Galchenyuk on his back when he flipped a rolling puck past Matt Murray on a breakaway 2:37 into overtime for his NHL-best 13th goal of the season. Draisaitl had 12 goals and 25 points in October and has seven goals and 10 points during a five-game point streak.
Brian Dumoulin scored a short-handed goal for Pittsburgh, which has lost four of its last six. Murray made 27 saves.
Viktor Arvidsson had the lone goal for Nashville, which has lost two straight.
Chytil scored the game’s first goal. He has scored in consecutive games since being recalled from Hartford of the AHL Oct. 28.