The Three Lions captain was replaced by Tammy Abraham in the 76th minute after a substandard display at Wembley.
The Tottenham striker, who is yet to score in the Premier League this season, has been out of sorts since his failed move to Manchester City in the summer.
And former Manchester United midfielder Roy Keane believes that Kane needs to 'do a bit more', even when he's struggling to score goals.
"There is no middle ground with Kane," he told ITV.
"When he's on fire he is fantastic and when he is off - and we've seen many times before - it's like he is on his heels and he can't get up to speed with the game.
"Whatever is going on at club level, he does need to do a bit more when he's not at his best in terms of general play."
talkSPORT Breakfast host Alan Brazil also recognised that Kane put in a below-par performance at Wembley, but insists that people need to remember everything the centre-forward has done for his country over the past few years.
The 28-year-old scored four goals in England's route to the Euro 2020 final just a few months ago, as well as six goals in six games in the Three Lions' fourth-placed World Cup finish in 2018.
However, against Hungary on Tuesday night, he had the same number of touches of the ball - 21 - as Bukayo Sako, who played just 29 minutes on Wednesday night.
"I just think it's a combination of everything," Brazil said.
"Is Harry 100 per cent? Had he set his heart on a move to [Manchester] City or something like that? Is he getting the right service that he used to get?
"I think there's probably six or seven reasons why he's not 10 out of 10.
"But, don't forget, we're so used to being brilliant in saving England so many times, so I think it's a bit harsh to pick on him.
"Overall, Gareth changed it and it didn't work. Everyone was crying out for him to change it, to be more adventurous and be more attacking. He tried that and it didn't work.
"I'm a great believer of players make systems, not systems make players. You can play whatever system you like but you've got to have the players that can play that."