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.
Southgate, though, did at least stave off an unwanted record of becoming the first England boss to oversee four straight defeats and further puncture the feel-good factor of a run to the World Cup semi-finals.
Southgate, the England manager, has been working with Rashford on his movement, particularly on using his prodigious pace to break into the box to meet crosses. He's had three days of little training.More news: Evacuations underway as Florence strengthens to category 4 hurricane
The former Manchester United and England defender believes that the forward risks mental burnout after three busy years of football, and says that those fixtures would have been the ideal time to given him some respite. Since 2015, Kane has played 175 matches.
"Yes he is (a special talent)", Southgate said of Rashford after seeing him score the only goal in Tuesday's friendly win over Switzerland.
Rashford's contribution to the games against Switzerland and Spain has reopened the debate about whether the 20-year-old should keep his place alongside Harry Kane as England's second striker instead of Raheem Sterling. I think they might, at the beginning, let Tottenham come at them a little bit, give them a bit of respect, which is right because Tottenham's home record was great past year.More news: Bmw Championship Faces Monday Finish Hopefully
"It's not my business to interfere with club managers, they have a hard job to do and they have big squads at the top six, huge competition for places, so Jose thinks the world of Marcus. He's got huge competition for places at his club, so you can understand (his frustration)".
"We have to remember that I don't think Harry, at that age, had hardly played anywhere near the matches for Spurs, really". What are we going to learn by playing him? Also, we wanted to finish the game strongly.
"His confidence will be boosted I'm sure, two goals against top-quality opposition in both games". But it was quite calm by the time we got in there. Television footage of the players walking out onto the pitch was broadcast in black and white for 25 seconds to mark the 25th anniversary of the anti-racism campaign Kick It Out.More news: Wildfire keeps major California highway closed for third day