Kai Havertz struck the winner for the Gunners on the night.
Rice said: "I think it has been constant thing for us, dominating games but teams have been coming here with a low block - it is tough to break down a 5-4-1.
"Second half, I feel we could have had one or two more. Luckily enough in the end it was an important win."
On his volley from a corner, he smiled: "I couldn't have hit that much better. I was watching the ball the whole way.
"Teams are trying to stop us from set-pieces. They were taken back from that one. We stick to our process as we are really good at them."
On Bukayo Saka's injury, Rice said: "He come off early in the game the other day.
"Tonight was different out there without him. We are going to have to adapt, for sure."
He continued: "Sometimes when the manager asks me to arrive in the box it is a bit unnatural for me, but it makes me more hungry for goals.
"I had a bit of a slow start to the season off the back of the Euros, but I feel much more back to myself."