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.
Rashford, 20, scored for the second consecutive game in a Three Lions short on Tuesday evening as Southgate's England triumphed 1-0 over Switzerland in an worldwide friendly at Leicester City's King Power Stadium. Switzerland had their chances in the first half, with Xherdan Shaqiri hitting the outside of the post from inside the box after seven minutes.
"We always give them (the players) the first three or four minutes to themselves", said Southgate.
Since establishing himself in Spurs' starting line-up at the start of the 2014-15 season, Kane has barely missed a game for club or country, clocking up 232 appearances for his club as well as for England's senior team and the U21s.
Marcus Rashford went into the worldwide break under a cloud, after being red-carded for rashly lowering his head into Phil Bardsley's face during Manchester United's 2-0 win at Burnley, but he emerges from it as one of the few players to have scored points - and the only one to have scored any goals - for England. They've got so many players that do that well.
"It's great we can all shout at each other and tell each other to improve like we did", he said. We needed to keep him ticking over.
"He is happy to play wherever he can get game time and he is still getting stronger".
Marcus Rashford is ahead of where Cristiano Ronaldo and Harry Kane were at his age - but needs to be made to feel "important".
However, he is now making it clear that the likes of Ruben Loftus-Cheek, with 33 minutes for Chelsea this season, and Fabian Delph, who has not featured at all for City, might have to be excluded if they do not start playing more regularly before the game in Rijeka on 12 October and, three days later, at the Estadio Benito Villamarín in Seville.
Rashford subsequently went to Euro 2016 as England's boy wonder but only played a cameo role in that tournament and was then largely a substitute at this summer's World Cup. It was going to be tough mentally to switch back from the World Cup to these games, physically for all the players, and with two tough games to play.