The coach of the 1998 side, Jaroslav Ciro Blazevic, said for a long time he did not want any other team to match his players' achievements.
England won the 1966 World Cup but hasn't returned to the final of the sport's marquee event.
They will take on Belgium in the eagerly anticipated semi-finals.
Croatia defender Domagoj Vida escaped a Federation Internationale de Football Association ban on Sunday after posting a clip dedicating his country s victory over Russia in the quarter-finals to Ukraine.
England have been handed a boost following the news that Croatia defender Sime Vrsaljko will miss their World Cup semifinal through injury. By no means are they assured a spot, as world No. 7 France, who oddsmakers are favouring, stand in their way.
Although Croatia went on to suffer an agonising 2-1 defeat to host nation France in the semi-finals, they beat the Netherlands 2-1 in the third-place playoff.
The 38-year-old holds the Russian record for most global appearances with 127 and his last act on a football field was to convert a penalty in Saturday's shootout loss to Croatia.
This is despite the fact that the reigning European champions Portugal couldn't make it past the Round of 16, and the reigning World champions - also European, of course - Germany were knocked out in the first round!
"They know they stand on a moment of history and they're desperate to do as well as they possibly can", he said.
Those two sides come together on Thursday at 4:00am (AEST), while France and Belgium contest the first semi-final the day before, also at 4:00am.
Pre-tournament concerns ranging from England's recent record in summer tournaments to hooliganism have resulted in a significantly reduced England following in Russian Federation so far this tournament. Here we look at the five biggest shocks of the tournament so far.
'The favourites, the big teams are home. "I felt really relieved", Dalic said.
For Coach Gareth Southgate and the Three Lions, the Croatia assignment is one they must tackle with all the skill at their disposal to realise their ambition of playing in the finals to bring the Federation Internationale de Football Association trophy home. The teams who are hard-working, who are compact and united, these are the teams that are still here.
Croatia don't see themselves as favourites in Wednesday's World Cup semi-final although most of their players have more worldwide experience than those from opponents England.
"Personally I don't think I played as well as I should have, but the team were resilient, defended well and dominated the game. We have succeeded I believe, but it is time to take a step forward".
Sportsbooks list England at +130 on the money line, meaning a $100 bet to win would return $130. "I went to Rakitic for advice and he told me just to pick a side and not change it".
So, we're down to the final four now: Semifinals Tuesday and Wednesday, then the finals this weekend.
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