"I'm not thinking about it, only about my national team succeeding", he said.
It's no secret that we have some of the most passionate football fans in the world. "They're bulls***. It divides people away from each other, but football is the number one thing that connects people together, the best ever", he said.
But Fifa said it had studied the video and made a decision to issue a warning to Vida but would take no further measures. "In Qatar in four years we will do better", Cherchesov said to thousands of fans in the Fan Zone in Moscow.
"Of course we wanted to go further", he admitted.
Going to extra-time and penalties meant using up valuable reserves of energy that could potentially put them at a disadvantage in their semi-final on Wednesday when they face an England side who coasted to a 2-0 win over Sweden.
Croatia and England are joined in the last four by France and Belgium after a World Cup at which several heavyweights, namely Germany, Brazil and Spain, were eliminated earlier than expected.
The two teams most recently met in a qualifying match for the 2010 World Cup, which saw England crush Croatia, 5-1.
In the run-up to the tournament, the team's poor performance had made it the butt of many jokes in Russian Federation, and a video poking fun at the players was watched 11 million times online.
"Gareth, good luck. Stick to what you're doing, I'm behind you", he added. I am happy that i have been a part of this team, this coach and our football country for nearly 20 years.
Forward Fedor Smolov received a rousing reception despite making a mess of Russia's penalty kicks.
Luka Modric won the man of the match award for the third time in five games at this World Cup, with a superb array of passing from a deep role in midfield. "I told him we were disappointed".
"When you look at it like that, obviously it's great, but more importantly it was about the team", he said.