One victory secured four remaining Rice stresses Arsenal determination on outcomes after tense performance
He remarked "We mentioned following last weeks loss to Manchester City that securing five victories is essential if we aim to claim the Premier League title."
"We have achieved one and four are left. The key was to secure the win regardless of the manner."
Arsenal who have faltered recently saw their nine point advantage in the title chase disappear while their 2 1 defeat at Manchester City last Sunday coupled with Citys slim success against Burnley on Wednesday pushed them off the summit for the first time since October.
The win on Saturday clinched by a stunning ninth minute strike from Eberechi Eze proved challenging yet vital as it restored Arsenals three point lead though City hold a match to play.
Given that Arsenal and City possess nearly identical goal differences the contest has become a rush through five matches and Mikel Artetas team now needs to concentrate on their leftover league fixtures hosting Fulham and Burnley and visiting West Ham United and Crystal Palace none of which appear overly daunting.
Should they triumph in all they stand a strong possibility of securing their initial league championship since 2004.
"These are thrilling moments with much at stake" Rice added noting his return to anchor the midfield in the away Champions League semi final opener against Atletico Madrid on Wednesday.
Arsenals squad appeared exhausted at the whistle after 97 minutes of intense effort. However skipper Martin Odegaard vowed relentless pursuit to hold off City.
"This fixture list is insane. We must persist. Its the seasons close so we empty ourselves fully battle each match and push forward" the Norwegian stated.
"This is our desired position though it will extend to the finale.
"We are prepared and will compete daily."