England take on Brazil at Wembley on Tuesday night, though Southgate did make clear that those attending would not be seeing any penalty shoot-outs on this occasion.
The young defender made his first appearance for England as a substitute in England's last game against Germany, when he replaced Manchester United's Phil Jones in the 25th minute.
"I think and hope that the English public have seen that these boys have given everything, they've played with pride and passion", Southgate said after England defended their way to a second 0-0 in the space of five days.
"Tonight we just showed resilience, guts and some really outstanding defending against a top, top side".
The England boss will spend the winter months in good spirits as he continues his preparations for next year's World Cup. "I'm incredibly proud of what the team has done".
"It is a base to work from".
Southgate handed Liverpool defender Joe Gomez a first start after the 20-year-old impressed as a substitute against Germany, while Ruben Loftus-Cheek also kept his place, only for the midfielder to hobble off in the first half after picking up a knock.
"I thought the defensive backline were phenomenal", he said.
"Joe (Gomez), I can't speak highly enough of his performance, he was playing against one of the hottest players and he did well against him".
Southgate believes his players face a tougher task against a side he deems to be the "best team in the world".
Gomez added: "It's a great experience to play at this level, especially against a team like Brazil with all the individuals they have".
This season, he has made 12 appearances in which he has grabbed one assist and helped the Reds achieve four clean sheets.