The midfielder is hopeful that his side can maintain their resurgence and claim a top-three finish in the league so they avoid a play-off for next season's Champions League
The Gunners have won their last seven league games on the bounce, which has seen them leapfrog rivals Tottenham having previously trailed 10 points behind.
The Welsh midfielder has claimed that motivation is key to their resurgence.
"We have proved what we can do and how motivated we are to finish third. We are doing that at the moment, hopefully we can keep going,” Ramsey told reporters.
Everton were Arsenal’s latest victims as they fell to a 1-0 defeat at Goodison Park.
A Thomas Vermaelen header inside the first 10 minutes separated the sides, as Arsenal managed only their second league clean sheet since the turn of the year.
Focusing on the game, Ramsey continued: “It was great. We battled well and it came off. It was always going to be a tough place to come but we dealt with it well.
"They have done well against some of the top teams in the league so we are very proud."
Defender Laurent Koscielny was equally delighted with the result but insisted the shut-out was down to efforts by the entire team, not just the defence.
"It's not just the four defenders, it's all the team," he added.
"Robin [van Persie] made a lot of effort to help us, so it's all the team who defend and attack and we did the job very well.
"We need to carry that into the next game against Aston Villa at home [on Saturday]."
How do you stay up with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.