The veteran striker has been linked with a move away this season, but he says he's happy with the Nerazzurri.
Dzeko said: "You always have to give everything, when you lose and when you win, the team always counts. Individual things are worth less than a team victory. I always give my all.
"I'm not a player who only thinks about scoring, I think of the good of the team that makes me happy when they win. The match against Napoli is worth three points like the others, the opponent is not important, but a success can give us so much confidence at home."
On Napoli, he also said: "I didn't expect them to go so well, despite being a great team. I hope they slow down a bit. The Champions League is the most important competition, that song at the beginning gives you something in particular. But now let's think about the championship, the Coppa Italia and the Supercoppa.
"This year we want to do well in the Champions League, I'm fine at Inter, now, however, I am only thinking about the field, the others will take care of the other things.
"I'm not thinking about what I will do when I stop, I want to continue playing and I know I can still give a lot."