The Pumas ended the tournament on a high on Friday night, stunning France 34-10 to claim the bronze medal and their highest finish in six World Cups.
Loffreda, who will now leave his post to take up a coaching role at Leicester Tigers, has left a great legacy following his eight years in charge.
And he hopes the team's success over the last six weeks will help rugby union make some headway in what is a football-mad nation.
"I think, generally speaking, things begin to explode when there is a sporting success," he said.
"We have to capitalise on this and we have to know how to use it in different areas within Argentina, where there hasn't been great deal of access to rugby."
Loffreda managed to create a family-type atmosphere within the Pumas camp, and he reckons that will stand him in good stead ahead of his stint with Leicester.
"Being a trainer does not just mean having this technical knowledge, it means managing and keeping a cohesion among the players," he said.
"And when you do speak, we need to be able to interpret the different needs and requirements of the different players.
"It has been a very rich experience being together and, without a doubt, this is going to help me in my next stage in Leicester."
Loffreda could not have asked for a better display from his players at the Parc des Princes on Friday night.
They had to weather any early storm from a fired-up France side, but their defence held up and they managed to score two opportunistic tries - through Felipe Contepomi and Omar Hasan - around the half-hour mark to set up the victory.
The second half saw the Pumas break out and play some crowd-pleasing stuff.
They grabbed three more tries, through Federico Martin Aramburu, Ignacio Corleto and Contepomi again, the first two being sensational length-of-the-pitch team efforts.
Contepomi kicked three conversions and a penalty to finish with a 19-point haul, and he was thrilled with the way the team ended the competition.
"We didn't set out to prove anything to anyone," said the Leinster centre.
"We just wanted to prove something to ourselves. We wanted to finish this World Cup in the best way possible.
"It is the end of a cycle, and it needed to be finished in the best possible way."
France, who suffered at the hands of the Argentinians in their opening game, went the same way in their last.
They changed their tactics for the game, throwing the ball around like the country's teams of old.
But they often did it in the wrong areas or at the wrong times, and Argentina were able to pick them off and apply the sucker punch on a number of occasions.
All Les Bleus could muster was a Jean-Baptiste Elissalde penalty in the first half and a second-half Clement Poitrenaud try that was converted by Lionel Beauxis.
It was a brave effort from the French, clearly still hurting from their semi-final defeat to England last weekend.
And Elissalde was disappointed his team could not produce the goods in their final match.
"I warned that it would not be easy this week," said the scrum-half. "This is sad for our people.
"In terms of pride, we have had a feeling of betrayal since last weekend. Our people put a lot of hope in us and we haven't been able to respond to them.
"We tried all week to get rid of all the bad thoughts in our heads, but it has been very hard. Our World Cup finished at the semi-final.
"It is a little bit too early to bounce back."
