The England international came off the bench to score the Gunners’ equaliser in the 1-1 draw at Manchester United on Sunday courtesy of a deflection off Manchester United defender Tyler Blackett.
Walcott has endured a frustrating season after making his return from a serious knee injury earlier in the campaign.
The manager was patient with me and I’ve been patient with myself as well
He has been limited to just three Premier League starts for Arsene Wenger’s man and has netted two goals in the top flight.
However, the forward is hoping that he can still earn a place in the FA Cup final against Aston Villa at Wembley later this month.
Walcott told Arsenal’s website: “I’ve been very patient coming back from injury. It always takes time to come back from injury but I know that I’m ready in training, I just need more match minutes.
“It’s always tough but I feel like I’m part of the squad. It’s nice to be back amongst the squad. I had a year out and sometimes it takes that long to get back into the team.
“The manager was patient with me and I’ve been patient with myself as well. I wasn’t putting too much pressure on myself by expecting to be where I was before I got injured.
“I feel like I’m getting stronger, quicker and there’s a couple more games so hopefully I can stake my claim to play the FA Cup final.”
Asked about the final, Walcott added: “You have to ask the manager about that but hopefully I’ve done enough.”
Walcott scored one goal in the FA Cup in the Gunners’ run to the final as Wenger’s side look to defend the title they won last season.
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