Argentina crashed out of the World Cup in the last eight as they were thrashed 4-0 by Germany, drawing criticism from some fans.
But Grondona, the president of the Argentine Football Association, said he was pleased with Maradona's time as coach, including their fraught qualification for the tournament after Maradona replaced Alfio Basile.
"He took over at a very difficult moment and he qualified, which is important," insisted Grondona.
Following the defeat by the Germans, Maradona, who led Argentina to World Cup glory in 1986 as a player, said he was seriously considering his future as manager and would talk to his family and players.
"This is the most difficult experience of my life," he said on 4 July. "Because to [lose] in front of so many good players, such good people, such good professionals is like getting punched by Muhammad Ali. I don't have any energy left."
One of Maradona's assistants, former Argentina defender Oscar Ruggeri, does appear to be heading for the exit door.
"His name was put forward by me, but we had lots of problems," Grondona said.
"And I'll tell you something you may find funny - he was the defensive coach," the president added, alluding to the catastrophic defeat at the hands of Germany.
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