The Switzerland captain was confirmed to have tested positive earlier this month, and the Swiss FA also revealed that he turned down the opportunity to have the COVID-19 vaccine.
Xhaka would have been absent for Saturday's game against Norwich City anyway due to suspension, but Arteta has now provided an update on the midfielder's health.
Speaking to the press ahead of the visit of Norwich: "He's doing well. He's still in his country. He needs to stay there until Saturday I believe. As soon as he's okay to travel he'll be here with us."
Xhaka will serve the first of a three-game ban this weekend after a rash challenge on Joao Cancelo saw him brandished from the field of play against Manchester City.
The Gunners boss otherwise confirmed that "almost everyone" should be available after Thomas Partey, Ben White and Gabriel Magalhaes returned to full training earlier in the week.
CSKA Moscow 
FC Rostov 
Leicester 
Chelsea 
Valencia 
Betis 
Dynamo Kyiv 
Chornomorets Odesa 
Verona 
Inter 
Bayer Leverkusen 
FC Heidenheim 
Borussia Dortmund 
SC Freiburg 
VFL Wolfsburg 
Union Berlin 
Arsenal 
Nottingham Forest 
Everton 
Brentford 
Spartak Moscow 
Lokomotiv Moscow 
Rangers 
Dundee Utd 
Atletico Madrid 
Alaves 
Lens 
Marseille 
Ingulets Petrove 
Shakhtar Donetsk 
AC Milan 
Juventus 
ST Malo 
Bordeaux 
Manchester City 
Tottenham 
Eintracht Frankfurt 
Werder Bremen 
Girona 
Espanyol 
Feyenoord 
Heerenveen 
ST Etienne 
Montpellier 
Grenoble Foot 38 
Heart Of Midlothian 
Celtic 
Reims 
Lyon 
PSV 
Groningen 
Celta Vigo 
Barcelona 
Benfica 
Estrela Da Amadora 
Sparta Rotterdam 
AZ Alkmaar 
Southampton 
Liverpool