Francis Coquelin has hailed the character in the Arsenal side and believes the future at the Emirates Stadium is a bright one.
The Gunners left it late to beat Southampton 2-1 last week, before battling to a 1-1 with Paris Saint-Germain in midweek, followed by Saturday's 4-1 win against the 10 men of Hull.
Sanchez and Theo Walcott gave the Gunners a two-goal cushion on Saturday afternoon, only for the side reduced to 10 men - following Jake Livermore's red card - to pull one back through a late Robert Snodgrass penalty.
Arsenal reacted again, though, as Sanchez grabbed his second and Granit Xhaka opened his account in stunning fashion to wrap up a 4-1 win that Coquelin believes bodes well for the season ahead.
"It was a good three points," the defensive midfielder said. "It was a difficult game. Obviously the red card made it a bit easier for us, but it was a tough match so it was really pleasing to get the win.
"It could have been nervy, but I think in the last few weeks we have shown our character.
"In the last two games we were behind and came back into it. Today we showed that even when a team comes back at us we have the character to finish it off.
"So that's good for the future and now we can concentrate on the next games coming up."