Calafiori has been struggling with a hip issue and had not trained before the weekend, having pulled out of the Italy squad last week.
Odegaard has been out since the start of October, Madueke has not played since September and Martinelli has been sidelined since October.
When asked about Odegaard, Gyokeres, Madueke, Havertz and Martinelli on Friday, Arteta said: “We put a lot of energy during the international break, with all the medical staff as well, to try to bring them [back] as quick as possible.
“So, tomorrow we have another training session, see how some of them are feeling, whether it is a bit too close to bring them into this game or we feel they can have a contribution in the game. Tomorrow we will have more clarity.
“It is the final stage and now it is when there is contact around them, when they have to be pushing to do very unpredictable things that they haven’t done. I think they are going to be with us soon. I don’t know if Sunday is going to be too soon.”