Burnley stood in the way at the Emirates Stadium - and kept a clean sheet for 70 minutes.
But Sanchez was on hand to score twice either side of a Calum Chambers goal, in the end giving the Gunners a 3-0 win against the top flight's bottom side.
Arsenal boss Arsene Wenger was understandably impressed with the Chilean, telling the BBC: "It was a top performance from Alexis Sanchez. His quality is exceptional, he takes responsibility and goes at people. He fights, he can score, that is what you want from great players."
And Arsenal fans need no second chance to sing the 25-year-old's praises.
Match of the Day asked fans who they thought is the better player and 64 per cent voted in favour of Sanchez.
On social media, meanwhile, Team Hazard is certainly backed by a huge portion of Chelsea fans - but the Chilean's case was put forward by several Arsenal supporters after his Burnley brace.
Here are the best fan reactions on Twitter, although there is no doubting there will be disagreement from the Blues...
Even Hazard's mother would trade him for Sanchez— Bergkamp & Bergkamp (@Orangeiceman10) November 1, 2014
SANCHEZ IS BETTER THAN HAZARD— THEO (@YourBoyArsene) November 1, 2014
Remember what I'm saying! Don't compare them until the end of the season but on CURRENT FORM Sanchez is all over hazard #AFC— GoonerMatt (@Gooner_Matt) November 2, 2014
No i don't think Alexis Sanchez is better than Eden Hazard. I know he is.— MS19 (@mikesanz19) November 2, 2014