"So go there, everyone", Cherchesov said at the team's meeting with supporters at the FIFA Fan Fest at Vorobyovy Gory in Moscow.
"To be able to manage the team to this point, having played in a semi-final as well, is really, really special". But if you want to get into the last 4 you need a bit more than that and a talented Croatia deserved to progress.
The headlines in Russian Federation read, "Moscow did not sleep after the match", "Thanks, guys", "Simply great", and "Fighting until the end".
"At certain times we lacked power but we played two times 120 minutes of football in six days", Modric said.
He's ready to face the music now and says "it's nice to hear people enjoying it again".
Russia's unexpected World Cup run ended on penalties after a thrilling quarter-final against Croatia on Saturday, and the hosts left the stage having earned the admiration of fans both home and overseas for their indomitable spirit. That made it back-to-back shootouts for Croatia following its narrow win over Denmark in the round of 16. "All the fears that some were trying to put on us with regards to this World Cup, well not only they were not true but it's actually the opposite".
However, a bigger issue for coach Zlatko Dalic will be how to get more decisive performances from his top players.
Dalic admired the way the Three Lions handled their business in the 2-0 success over the Swedes.
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England break no sweat in dispatching Sweden
Fabian Delph 6 - On for Alli late in the game, Delph made sure England continue to tick over in possession and resisted any comeback from Sweden .
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"We should have finished the job before penalties, but maybe it's written in the stars that we have to go through the extra drama", said Luka Modric, whose penalty bounced off Subasic's hand and the post before entering the other side of the net.
"Vladimir Putin talked to me during the day and he called me right now, and congratulated me on a very good game", Cherchesov said.
It has been a rocky road off the field, too, for Croatia.
If that's going to change, Russian soccer may need reform - perhaps more players signed to foreign clubs like Cheryshev, sharing knowledge and experience from overseas.
Vukojevic was fined $15,150 by Federation Internationale de Football Association but Vida was let off with an official warning after apologizing for the video, which was posted after the team beat Russia.
"It's incredible, because I was one of those kids growing up who wanted to play for England".
Gareth Southgate has revealed how the spirit of 1966 is inspiring England's World Cup journey.
There is little prospect that they would have come this far without Modric, who as a boy was forced to flee his village home after his grandfather was killed by Serb forces in the Croatian independence war. "We felt your support".
Didier Deschamps won the World Cup as a player in 1998, and is now one win away from winning as coach.