He said that Wenger's side could have had far more goals than the two they scored, and hinted that they are going to have to become more clinical and cutthroat in front of goal if they are to continue this good run of form.
"If you take the best English players and you see him playing the way he did tonight, it's hard to ignore him".
If he really wants the once-again vacant England job Arsene Wenger's Arsenal players provided the Frenchman the ideal showreel in a classy 2-0 defeat of FC Basel to move joint top of Champions League Group A on Wednesday.
In a brilliant display of attacking football, the side dominated their Swiss visitors in the first-half at the Emirates.
Walcott notched his 13th and 14th Champions League goals, leaving him behind only Thierry Henry and Robin van Persie in the Arsenal all-time rankings, as he continued his drastic improvement in form.
The Frenchman offered his take on the Allardyce's exit as England manager on Tuesday evening, just 67 days and one match into the role.
"We usually found out in December who might be kept on but I kept on getting the question 'is he good enough?' So they extended it to see if I could do something and it went to March and then April".
Dez Bryant to have MRI for knee injury suffered early in win
If Bryant can't play Sunday, Brice Butler , who has one catch for 16 yards in three games, would move into the starting lineup. Romo has missed the first three games and could miss up to four more after breaking a bone in his back in the preseason.
Speaking before the match, Walcott put his improved form down to a change in mindset following a conversation with Wenger, but after the game the Arsenal boss returned credit to his player.
Arsene Wenger has played down reports linking him with the vacant England manager position but admits he can sing the national anthem.
It seems last season's experiment to toy around with Walcott at centre-forward has been shelved and allowing the England worldwide to focus on playing in just one position could be one of the potential factors behind his upturn in form. "It was a huge surprise what happened to Sam Allardyce", he said.
But my priority has always been this club. I'm completely focused on that.
"I always curse the fact I didn't have more time with him".
"We seem to sort of know when we play off each other quite well. If we have a chance to score at 2-1, we have to take it".
Walcott opened the scoring in the seventh minute, nodding home Alexis Sanchez's cross before firing home a second 20 minutes later to seal the victory.