Eduardo maintains that when Arsenal have all their players fighting fit they can force themselves into the Premier League's top three.
The striker has just returned from a year out with a broken leg but insists when he and others are back to their peak then the Gunners will be ready to fire.
The 25-year-old is not the only first-team regular currently battling to be at their peak.
Emmanuel Adebayor is close to shaking off the hamstring problem which has sidelined him since early February and captain Cesc Fabregas is expected to be back in action by the start of next month following his rehabilitation from knee ligament damage.
Theo Walcott is already playing again after four months out with an injured shoulder, while there is hope long-term absentee Tomas Rosicky could feature before the end of the season.
And Eduardo sees no reason why a fully-fit Arsenal should not chase down the leaders.
"What is important is that we are defending well and the performances are coming," he told Arsenal TV.
"There are a lot of great players coming back now - Walcott, Fabregas, Tomas Rosicky and Adebayor - and it will be okay.
"I think we can be in the top three in the Premier League."
Eduardo will miss Saturday's home game against Blackburn after suffering a minor groin problem during the dramatic Champions League penalty shoot-out win over Roma on Wednesday.
Other than the loss of the Croatia international, Arsene Wenger reported no fresh injury concerns following the trip to Rome.
Andrey Arshavin is available after being cup-tied in the Champions League, but while defender Mikael Silvestre is fit after a calf injury, he lacks match practice.