The Swedish striker has rejected any talk of taking the captaincy at the Parc des Princes, saying that a captain needs to be "one for the future."
The prolific forward has made moves to numerous clubs during the course of his career, and hinted that his time in the French capital could come to an end in 2015, when his current deal expires.
"You know what you get from me. I've been like this for many years and when a club buys me they know what they're getting," Ibrahimovic told Le Parisien. "But the captaincy? No. The captain is one for the future, to be here for many years. I only have a three-year contract."
Ibrahimovic went on to say that his side thrived while in crisis after coming back from a series of uneven performances to beat Troyes 4-0 on Saturday, responding to the poor run of results.
"Is this the end of the crisis? No. It's good to be in crisis, because that's when you play well," Ibrahimovic said. "I think it was important today after losing the last game to come back strong and send out a message to everyone. We want this."
Since making the move to Ligue 1 in the summer, Ibrahimovic has scored 14 goals in all competitions.