Speaking to football.london, Rice said: "Mentally it is tough. The anxiety is through the roof!
"You know the pressure of playing for Arsenal, you have to win every game. And if you want to win Premier Leagues and cups, compete at the top, you need to be at your best and you need to win - otherwise the pressure mounts.
"So when that second goal went in for them, one thought is - we can’t lose this game, we have to keep going. In the end, it is kind of like a sigh of relief, because we won the game, we deserved to win the game.
"That was probably the most comfortable we have been in the first half all season, in terms of passing the ball, dominating the ball. There are lots of positives to take, but still so much to improve on. As the season goes on, I am sure you are going to keep seeing the best of us."