The Portuguese was happy with the way his players competed.
Silva said afterwards: "I'm more pleased with the way our players fought, the commitment, the organisation.
"It's always tough when we play against Arsenal but they know it will be tough too. We create a difficult scenario for them.
"We have to be honest and fair. On the ball it was one of the games we had less time on the ball. We scored a very good goal. Second half was more difficult. The team has less energy.
"They scored a really tight goal. The players were brave enough. Second half much more control from them but not big chances.
"Performance-wise it wasn't the best game from ourselves but what a goal, what a move and what a finish.
"It's been a tough week. In eight days we played Tottenham, Brighton and Arsenal. They've been great. The momentum is here for us. We have to be proud of the season so far."