The 27-year-old was finally announced as an Arsenal player on Saturday, ending one of the summer’s biggest transfer sagas so far.
Arteta’s side are currently in Singapore as part of their pre-season tour of Asia, beating Premier League rivals Newcastle 3-2 in their first game.
Gyokeres will doubtless be keen to make his debut against arch-rivals Tottenham on Thursday, but Arteta has revealed it isn’t a given.
Speaking to reporters, he said: "Well I think he hasn’t had a single training session with the team since the last game with Sporting when they became champions.
"So we will assess him tomorrow, he's done all the medicals, everything is looking good but to get him up to speed with the right levels of fitness I think is very important.
"So we're not going to stop him, we want him with us as quick as possible but we'll have to assess and the medical team will do that."