Ivorian wants Gunners to show Sir Alex Ferguson's men some respect, but insists that they should not be scared heading into the match at the Emirates at the weekend
The two teams clash at the Emirates Stadium on Sunday, with Sir Alex Ferguson currently top of the Premier League table - nine points ahead of the Gunners with four games to go.
However, Arsene Wenger's men can cause damage to their opponents' title hopes if they beat them in London, as it could potentially see Chelsea draw within three points of the Red Devils.
According to The Sun, Eboue said: "We need to respect them but not be scared, play our football and we'll see after the game."
The Ivory Coast international also pointed towards Ryan Giggs as the danger man, insisting that the veteran midfielder plays like a 20-year-old.
Eboue said: "When he plays, it's like he's 20 because he's everywhere.
"So you have to be careful with him."