The 23-year-old netted his 18th goal of the campaign against Brendan Rodgers' side after helping to mount a second-half comeback from two goals down, comfortably making him the Gunners' top goalscorer this season.
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"You must play to your strengths and if you are against slow centre-backs, play me," Walcott told The Sun.
"I think the manager knows what's best for the team, I do as well. Arsene Wenger has shown that faith in me and given me the chance to play up front recently.
"Hopefully I've shown him something Arsenal haven't had in recent years. In the long term I want to be a striker but it won't happen overnight."
The draw sees Arsenal remain four points behind north London rivals Tottenham in the race for Champions League qualification, with Andre Villas-Boas' men also dropping two points away at Norwich.