Xhaka and Shaqiri celebrated their goals by making a "double eagle" gesture with their hands to represent the Albanian flag.
This was Arsenal's eighth defeat this year and their fourth straight league defeat.
Arsenal are back in the hunt to qualify for the Champions League after Arsene Wenger finally got the better of Jose Mourinho in a 2-0 win over Manchester United, while Liverpool were held to a 0-0 draw by Southampton on Sunday.
Poland defeated Switzerland in a thrilling penalty shoot-out as they advanced to the quarter-finals of the 2016 Euro Championships
Switzerland defeated Albania 1-0 on Saturday in Euro 2016. Catch highlights of ALB vs SUI here.
England will be aiming to win their first major international football title after 50 years as they take on Russia in their first match of the 2016 Euro Championship
Granit Xhaka and brother Taulant siblings are set to become the first brothers to play against each other in Euro finals, when Switzerland face Albania