Heatley finished the night with two goals and an assist to help the Sharks win for the third time in their last four contests.
Heatley scored on a wrist shot at 11:57 of the third period to snap a 3-3 tie. He also scored a power-play goal in the second period that tied it 2-2.
J.P. Dumont had a pair of goals for Nashville. Joel Ward also scored and Cal O'Reilly added three assists. Pekka Rinne had 25 saves.
Notable deaths of 2014 [PHOTOS]