Liverpool will have to win their remaining two games and the Viola must lose theirs in order for not the Italians to go through.
Fiorentina managed a strong 5-2 win over Hungarian side Debrecen on Wednesday.
“We are happy that we won at home against Debrecen,” Vargas told TMW after the game.
“We now need to remain calm and go forward, playing well until the end. Out attention will turn to the league now [as they play Udinese away this weekend].
“In our next Champions League match against Lyon, we well need to be relaxed and play our own style of football, and hopefully, we can do well.”