Slutsky was only in charge of the team on a part-time capacity
Russia manager Leonid Slutsky has become the first managerial casualty of the tournament after his side finished bottom of Group B without having won a game.
Slutsky saw his side draw their opening game with England in Marseille, before losses to Slovakia and Wales saw the 2018 World Cup hosts head home early.
Leonid Slutsky has admitted that Russia needs someone else to lead the country to the World Cup in 2018.— RussianFootballNews (@RusFootballNews) June 20, 2016
The 45-year-old only took charge of Russia last August on a part-time basis until the end of Euro 2016. He is expected to return his focus to club level, where he has been in charge of CSKA Moscow since 2009.
"I would like to apologise to the Russian supporters for our performances, and to the fans in the stadium and watching at home on TV; they did not deserve this", Slutsky said after the 3-0 loss to Wales in Toulouse.
"I take responsibility", he added. "I had enough time to find players. If we did not succeed it is truly my mistake. Someone else should take over with a big championship to come."
Russia's recent tournament record remains very poor. Since leaving the Soviet Union, Russia have qualified for nine major tournaments, and have only got past the group stages on one occasion. That was at Euro 2008, where the team reached the semi-finals.