The Scandinavian nation finished third in Group G behind Albania and Russia, meaning they face a play-off to qualify for the competition next summer.
Ibrahimovic remains supremely confident Sweden will qualify, however, and has refused to entertain the prospect of him not participating.
He said: "I don't want to miss the European Championship, it's unlikely and unthinkable for me to see this tournament ongoing without me.
"We didn't go in the classical way, so we will find out another one to go. Whoever will be our opponent in the playoff, it will be tough.
"In this kind of games, each team give its 200%. It's an all-in. But I'm sure we will qualify."
The draw for the play-offs takes place on Sunday, with Sweden seeeded and will therefore draw one of Denmark, Norway, Republic of Ireland or Slovenia.