Rashford will serve the first game of a three-match suspension this weekend following his red card against Burnley before the worldwide break, further restricting his opportunity to build on his part in England's run to the semifinals of the World Cup in Russian Federation, where he made six appearances.
Kane featured in both matches as England went down 2-1 to Spain at Wembley before they edged Switzerland 1-0 in Leicester thanks to a Marcus Rashford goal.
Switzerland were the superior side before the break and Liverpool's Xherdan Shaqiri should have given them the lead early on but his effort rattled the post.
Come on, the Three Lions did reach the last four regardless.
Rashford started against Spain on Saturday and Switzerland on Tuesday, and scored in both games.
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. "Our first-half performance was embarrassing, but it's great we can all shout at each other and tell each other to improve like we did". They say players get paid so much money, they need to play every week and what are they moaning about. We needed to keep him ticking over. The first half was quite predictable really.
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"Before I got in, the players were trying to sort things out", revealed Southgate.
Speaking after the game, Southgate said: 'I think he's going to get matches at his club.
The Reds travel to Wembley looking to continue their flawless start to the new Premier League season, while Mauricio Pochettino's side will be hoping to bounce back having seen their own spotless start spoiled by Watford in their final game before the global break.
'If he didn't play today, he would have gone out and done some running on the pitch.
"We were trying to correct one or two things but also challenge them a bit, it was an important night for us to finish well and we knew it would be hard because of the changes and amount of game time, but I'm really pleased because the players have given everything this week".