Ten-man Germany were beaten 3-1 by Alejandro Sabella's men on Wednesday night and the veteran striker feels it was a "curious" result
Joachim Low's side started the game brightly, but were dealt a critical blow when Rob-Robert Zieler was shown a red card on the half-hour mark.
Although stand-in keeper Marc Andre ter Stegen saved Lionel Messi's penalty, a flurry of goals meant Benedikt Howedes' strike for Germany was little more than a consolation.
"It was curious," Klose is quoted as saying by DFB.de. "We all arrived very composed today. But we have a great young squad. And I will be part of this team for as long as possible."
Howedes' strike was his first in international football, but the Schalke captain admitted that he would rather that it had come in different circumstances.
"Scoring your first international goal is nice, but this was a disappointing defeat. We had good opportunities of which we could not take advantage.
"We fought, but we should not have conceded more than one goal."
Ter Stegen, who was making just his second international appearance, voiced his delight at saving Messi's penalty after the match, but did not want to make further comment on the day's proceedings.
"It's always difficult for a goalie to get into a game. I am glad that I saved the penalty. But there's nothing more to say. It's unfortunate, but it happens."