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.
Fiorentina 
Udinese 
Benfica 
Estoril 
Inter 
Como 
Manchester City 
Everton 
Chelsea 
Fulham 
Nottingham Forest 
Tottenham 
Celtic 
Motherwell 
Wolverhampton 
Manchester Utd 
ST Mirren 
Rangers 
Sampdoria 
Carrarese 
Liverpool 
Leicester 
Arsenal 
Ipswich 
Cagliari 
Lazio 
Atalanta 
FC Porto 
Boavista 
Torino 
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ST Johnstone 
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Roma 
Sporting CP 
Newcastle 
Brentford