Zetterberg's power-play goal broke a 2-2 tie with 42 seconds left in the second period.
Alfredsson and Franzen tacked on power-play goals in the third.
Glendening and Lupul traded goals earlier in the middle period.
Andersson scored 5:18 into the game. Kadri's power-play goal tied it at 8:31 of the first.