Arteta will now self-isolate in line with government health guidelines and it is expected the first-team squad – along with coaching staff – will do the same.
Arsenal’s trip to Brighton has now been called off after the Gunners closed their training ground.
Arteta said: “This is really disappointing but I took the test after feeling poorly. I will be at work as soon as I’m allowed.”
Managing director Vinai Venkatesham said: “The health of our people and the wider public is our priority and that is where our focus is.
“We are in active dialogue with all the relevant people to manage this situation appropriately, and we look forward to getting back to training and playing as soon as medical advice allows.”
After Arteta’s positive test was confirmed on Thursday evening, the Premier League announced it would hold an emergency meeting on Friday morning regarding upcoming fixtures.