Club officials first held talks over a visit to the country back in March, and details of the game have now been announced.
Arsene Wenger will send out a side to face the Vietnam national team at the My Dinh National Stadium in Hanoi on July 17.
Chief executive Ivan Gazidis said: "Arsenal has so many loyal supporters in Asia and we are delighted to be visiting Vietnam in July to play a match in Hanoi.
"Everyone at Arsenal is proud to be the first Premier League team to play a match in Vietnam and to be spending time in this wonderful country.
"Arsene Wenger, the players and all the staff have hugely enjoyed our tours to Asia in the past two years, and we are all looking forward to visiting Vietnam as part of our Asia Tour 2013."
This summer's tour, Arsenal's third successive pre-season visit to Asia, also features games in Japan and Indonesia.