Aaron Ramsey's ninth goal of the season and a Mesut Ozil brace ensured that Arsenal leapfrogged Liverpool to go top of the Premier League table, and the Gunners boos reserved special praise for Wilshere's 18th-minute strike.
"The first goal was one of the best I've seen," Wenger told the club's official website. "It was a mixture of technical quality and speedy thinking.
"Our belief is strengthened by every win. There is a long way to go, we have to keep our solidarity.
"Don't forget at the moment we don't have Walcott, Chamberlain or Podolski."
Arsenal are the Premier League's in-form team, having won five of their last six matches.