The Portuguese says that Spurs "were on top" throughout the match at the Emirates even when they were reduced to 10 men.
"I think we were on top from the first minute to the last," he told the BBC. "The scoreline is big for Arsenal but the game wasn't so big. It was big on our side. We were unbelievable today.
"With 10 men on a pitch like this it's very easy to do 20 passes when the clock is ticking down. But it is not easy to do them when you are under pressure and you don't feel comfortable to play against an opponent with 10 men and being better than you.
"So I certainly compliment Arsenal for what they did, but we played with great passion, great ambition and desire. We are very proud."
Tottenham are now eighth in the Premier League table with 17 points from 12 matches.