The Croatian Football Federation are still to serve the second game of a two-match punishment imposed by UEFA in 2015.
Croatia will take on France in the final on Sunday.
England will play in a World Cup semi-final for the first time since Italia 90, but Southgate insists his life outside of the game will not change if England progress to the final, or even win the tournament.
From the moment Kieran Trippier put England ahead to Croatia's equaliser, Mario Mandzukic's victor and then the full-time whistle.
Mario Mandzukic scores the extra-time victor in the 109th minute to break English hearts.
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'I'm sorry... because I love England but for those who sent me stupid messages and insults till now... you deserve this answer now!'
Kieran Trippier's 5th-minute free-kick goal was the first direct free-kick scored in the knock-out stage during the 2018 world cup.
Croatia's fans react after a goal as they watch the broadcast of the World Cup semi-final match between Croatia and England in the fan zone. "It is what it is and so we will try to play that game with as much pride as we can and try to finish on a high", he said.
"And like I said, they should be more humble and respect more opponents".
With England making it to the World Cup semifinal for the first time since 1990, the fans started believing that the trophy will be "coming home".
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Ivan Perisic tied the score in the 68th minute with his fourth goal of the tournament.
Shortly after Ivan Perisic's equaliser and with England firmly on the back foot, Gareth Southgate looked to freshen things up by withdrawing Sterling and sending in Marcus Rashford in the hope that the 20-year-old could expose Lovren and Vida's exhausted legs.
"We're gutted", said Harry Kane, still on course to finish as the tournament's top goalscorer with six strikes in Russian Federation.
Southgate claimed England "broke through barriers" during their World Cup campaign in Russian Federation.
"It´s impossible to say anything to make the players feel better at this moment in time", he said. "I think we've built a house here now on good foundations", he said.
We have solidarity and unity and the teams that did not have that are now back home. This is an fantastic achievement for us - it's a dream come true after such a long time.
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