Xavi suggests Arsenal did not even try to play football during Barcelona's 3-1 win that put them through to the Champions League's last eight.
Barca triumphed 4-3 on aggregate in the last-16 tie to progress through to the quarter-finals.
"We were superior to them from start to finish," Xavi told the UEFA website. "We imposed our football, we remained totally loyal to our manner of playing - we demonstrated our personality.
"Arsenal barely had a shot on goal and their only goal was scored by our player.
"They didn't want the ball and our tempo of play and our intensity was always going to see us through."
Teammate Dani Alves paid tribute to Lionel Messi, who scored two goals and was excellent throughout the game.
"Perhaps this was our most difficult game so far in the Champions League this season but we have Messi and he's on a superior level to anyone else," Alves told UEFA.com.
"He's our genius, the guy who pulls us through tough games and he's done it again. He wasn't alone, we all know that Messi was accompanied by a great team tonight but he's the perfect complement to our work."
