The CSKA star is eager to give credit to their opponents, despite cruising to a comfortable defeat on Friday evening, and is now looking forward to his team's clash with Poland
The 21-year-old played a crucial part in Friday's victory by opening the scoring early on and sealing the win for Dick Advocaat's troops with only 10 minutes remaining.
Despite playing in Wroclaw, a large number of fans travelled from neighbouring Czech Republic to watch the game, a scenario which the attacker acknowledged.
"It's always difficult to play against teams that are playing at home," Dzagoev told reporters. "Their fans push them on to score and win [the game]."
Meanwhile, fellow Russia team-mate Yuri Zhirkov added: "The Czech team played respectably but we scored more and won.
"There was a worry [at 2-1] but we overcame it. Thanks to Dzagoev, who scored the third goal. It got easier."
Next up for Russia in Group A are co-hosts Poland on Tuesday.