"I don't expect the media to be supporters of us in the way they work, they want us to do well, that's been clear throughout the tournament".
Defender Kyle Walker was also asked about the leaked note - and, like Southgate, urged the media to keep any information to themselves in order to help the national team.
England, meanwhile, has a wealth of world champions, Olympic gold medallists and, over half a century ago, even a World Cup-winning football team in its history.
Earlier this week, various newspapers and online publications circulated the image of Three Lions assistant manager Steve Holland holding a piece of paper containing player names presented in a tactical formation.
"It's looking unlikely because he has not trained with the team yet, but he's progressing really well, so we won't rule that out just yet", he said.
"We have a certain stability and I liked how hard my team worked (against Belgium)".
Chen told Press Association Sport a little more about his question and appeared more than happy with Southgate's response.
"He gave his apologies and said it was the first time he had messed up in 20 years, which we had a bit of a laugh about because his refereeing skills are not great.
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The La Celeste boss highlighted a key point that many people seem to have forgotten - There are no easy games during a World Cup. It's not a question of defending with one or four or five players, or to play more defensively or offensively.
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More than anything I think for the guys who aren't in the team tomorrow [Sunday] or who haven't been in the team for either game", said Southgate.
It is a match the manager is not taking lightly as England prepared to face the side ranked 55th in the world.
Southgate sparked a social media attack on the media after questioning reporters for publishing their team plans.
And Neville sent a series of tweets blasting the media for leaking England's team.
"We always talk about games and how we can improve and what he thinks in those situations because he's done it so many times".
Richard Nicholson, of Cannon Hall Farm, near Barnsley, South Yorkshire, said he was optimistic as the mini-stunt had already predicted an England win against Tunisia.
England have studied Panama extensively, including their run to the finals.
Hernan Gomez is either soccer's most candid coach, or a master motivator who says one thing in public and another to his Panama players as they navigate through the country's first World Cup.