Fulham impressed with an Europa League victory against Juventus on Thursday.
Garrido said: “They try and play good football and so do we, but they have definitely had the edge over the past three or four seasons.
“But there is no reason we can’t win this game – we need a victory to keep the pressure on the teams around us.
“I think every team who plays us now wants to beat us because of what has happened to the club in the past couple of years.
“I think sometimes we have had a stronger mentality against the best teams and the results against Arsenal and Chelsea have proved that to be true.
“But we have to have that same focus against every team we play if we are to finish in the top four.”