Dier was one of two Tottenham players to feature, starting in midfield with Danny Rose at left-back.
The Three Lions went into the dressing room level at 0-0 after a lacklustre first half of their friendly against the Swiss.
Rose, who was voted as man of the match for his performance, added: 'We spoke at half-time - we weren't happy with how we were playing and how we were pressing. They recognise when they want to be better.
Switzerland were soon gifted a chance to settle into the game, though, as Jack Butland's attempts to play out from the back nearly backfired twice in quick succession - the second of which saw James Tarkowski robbed of the ball and Xherdan Shaqiri subsequently fire a low strike against the outside of the post when he should have done better.
A fairly straight forward second half saw Butland end the game with a clean sheet, but the Championship player can count himself lucky the Swiss were not clinical in the first half.
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I am sure he will. "You have to stand up and turn up at training every day and show him that you want to win at all costs". They know where I am. "I would like to coach".
Operating in support of Danny Welbeck at the sharp end of a 3-5-2 system, Rashford was England's liveliest player throughout, and looked their most likely source of a goal even before he netted for the fifth time in worldwide football.
"They were frustrated the first half". A combination of the two meant we got a good response in the second half. "We turned it over too easily in that first period but we kept the ball better in the second half". And he will be pleased with aspects of their display, but also aware of where he can continue to work on other areas when they meet again for Nations League trips to Croatia and Spain.
"Before I got in the players were trying to sort things out", he continued.
Southgate said: "I wasn't in there at that moment because we always give them the first three or four minutes to themselves".
"We talked a bit after the World Cup about the demands of the modern player". Southgate admitted sympathy for the Croatians, who he believes are having similar difficulties to his own side after going so far at the World Cup in the summer. "I think for the teams that went towards the end of the World Cup it's a really hard period because so many players have missed pre-season and you're not really sure what physical condition they're in".