The Gunners remain unbeaten in the Premier League this season but United have climbed to second after a slow start to the season.
Tevez believes United are the stronger side and is confident of coming away from the Emirates Stadium with three points when the top two clash in November.
"Arsenal are the leaders in the table but Manchester United should be favourites for the title and the Champions League," Tevez told the Daily Mirror.
"I think we will show that and prove it to our opponents when we play them in the key matches this season.
"United have special players and Cristiano Ronaldo is the best in the Premier League.
"He is ideal, great and easy to play alongside because he provides assists and scores goals."
Evra feels that Arsenal may start to struggle as soon as they lose their first game of the season.
"There is no doubt that Arsenal are a stronger side than they were last season, but I don't think we will know about this team until they lose," the Frenchman said in The Sun.
"That's the important time when you look to see how a team reacts. It is how you bounce back.
"We know we can do it. We had a difficult start to the season but we have shown great strength and character and are winning now without conceding any goals."