Southgate's team have surpassed the expectations of most in Russian Federation, reaching their first World Cup semi-final since 1990 despite the groupbeing relatively inexperienced.
France await the winners in the final, but Southgate is convinced the future is bright whatever the outcome.
"The one thing that's come across with this squad is they've kept their feet on the floor, nobody's getting too excited and I think that's the right approach".
"Most of them weren't born when a lot of the stories we're talking about happened, so why as a coach would I try and put that at their door?"
Kane is now leading the Golden Boot race at this summer's World Cup with six goals, helping his side to the semi-finals of the competition in the process.
Blazevic parted company with Croatia in 2000 before going on to manage the likes of Iran, Bosnia and Herzegovina and Shanghai Shenhua, among many other teams.
"It's a very short change around and the travel is a bit more complicated so, quite simply, I've just got my family coming". Biggest win in the tournament.
But Boss Southgate admitted he could not listen to Three Lions after his penalty shoot-out miss in the Euro '96 semi-final - the year the anthem was first released. First quarter-final win for longer.
Such is the interest in England's first World Cup semifinal since 1990 that the system crashed when London Mayor Sadiq Khan announced 30,000 free tickets would be made available to watch the game in Hyde Park via a ballot.
Premier League clubs West Ham and Everton are reportedly keen on the 22-year-old's services next season, as both sides look to break into the top-half of England's top-flight.
Tottenham Hotspur midfielder Dele Alli has told The Guardian that he hopes to nutmeg Croatia midfielder Luka Modric again on Wednesday night.
He said: "We are really proud of the support we have received. We know what's at stake and in such moments you forget any fatigue you may feel because this is maybe a once-in-a-lifetime opportunity. Our supporters, our country has had a long time of suffering in terms of football.