The Gunners are set to play the second match of their Asia tour against a Vietnam XI at the My Dinh National Stadium on Wednesday as manager Arsene Wenger continues his squad's preparations for the new campaign.
There has been much talk of the need for Arsenal to bring in some marquee signings this summer - with one £30million bid for Liverpool's Uruguay striker Luis Suarez rejected, while Real Madrid's £25m-rated forward Gonzalo Higuain, Everton midfielder Marouane Fellaini, and even Manchester United forward Wayne Rooney have been touted as potential new arrivals.
Walcott, who was top scorer with 21 goals last term, believes no matter what the team make up is, they must all build on a superb end to the previous campaign which saw the Gunners go on a 10-match unbeaten league run to snatch fourth place ahead of Tottenham and with it secure another shot at the Champions League, with a two-legged play-off ahead next month.
"The way we ended the season last year, 11 games undefeated - we need to do it from the start, which I believe we can," Walcott said, quoted on the club's official website, www.arsenal.com.
"The manager shows so much belief in us in every single game so we need to step up and I think we have got a very good chance of challenging this season.
"Every game in the Premier League is very tough and very interesting. It always comes down to the last few games, so we need to believe in ourselves."
Walcott added: "Time will tell if players come in or not, but we just work with the squad we've got at the moment. Come the start of the season, there could be changes.
"We know it is a very long campaign, but we are all very excited about our prospects."
England midfielder Jack Wilshere missed Sunday's 7-0 win over an Indonesian side in Jakarta with illness, but is expected to feature on Wednesday.
Source: PA
Source: PA