The former World Cup-winning captain was a surprise choice as coach in the first place in 2008 due to his lack of management experience and personal problems.
Argentina were knocked out in the quarter-finals in South Africa when they were thrashed 4-0 by Joachim Loew's Germany, side yet their controversial coach is to keep his job.
The 49-year-old had hinted that he would step down following their exit from the World Cup, saying: "I may leave tomorrow. We will see what happens. I haven't thought about leaving. I have to check that with my family and the players and there are things I have to consider."
But having impressed in the group stages at SA2010, winning all three games convincingly and disposing of Mexico in the Round of 16, the Argentine FA appear content with his achievements.