"After that, what he did is not offensive. You look for every single incident, I can understand that, but it is an action that didn't offend anybody."
Arsenal had already done enough to book its place in the fourth round by that stage, seeing out the final minutes with 10 men as its three substitutes had been used before Walcott was injured.
Santi Cazorla swept in the opener in the 31st minute, and the second goal came after a further 31 minutes when Tomas Rosicky charged forward from the halfway line before lifting the ball into the net.
"We played very collectively and tactically very well," Rosicky said. "We always have the quality to score goals."
The victory maintained Arsenal's bright start to 2014, a year when Wenger will hope to produce the team's first trophy since the 2005 FA Cup.
The Gunners are also top of the Premier League they haven't won since 2004 and in the last 16 of the Champions League.
Tottenham, though, has only one realistic chance of ending the season with silverware in the second-tier Europa League.
