The former Manchester United star posed the question following Kane’s performance against West Ham in the Premier League on Saturday afternoon.
The England international striker scored twice for Spurs in their 3-2 victory over the Hammers in the London derby.
Ince has asked whether the 24-year-old needs to leave Tottenham in order to reach the next level, suggesting clubs including Premier League rivals Manchester United.
Ince said on BT Sport: “For Harry Kane to get to where he needs to get to, does he need to go to a so-called Man United, Barcelona, Real Madrid?
“Because he is at that level. He can go to a Real Madrid or Barcelona and score goals, because he scores goals for fun.”
Kane is one of the best strikers in the Premier League and has won the Golden Boot for the past two seasons.
The Englishman has scored four goals already in the league, and it should not come as a surprise if he becomes the top scorer in the English top flight yet again this season.
The striker would be a success for the likes of Barcelona or Madrid, but he seems to be enjoying his football at Tottenham and and the North London club’s fans should not worry about him leaving anytime soon.