Expected to be sidelined for a month, Martinelli was initially a doubt for the Champions League round of 16 first-leg meeting with PSV, though he and Saka are set to miss both games.
There was excitement among supporters when the club posted pictures of Saka training in the gym in Dubai earlier in the month and there had been talk of a return against PSV in the Champions League.
“I think so, but again, let’s see how they evolve in the next few weeks to make the right steps as well,” Arteta said when asked if the pair could return after the international break.
The Gunners, who were beaten 1-0 by West Ham last weekend, kicked off at the City Ground 11 points behind league leaders Liverpool, and the night ended with a 13-point gap between the two sides after the Reds cruised to victory over Newcastle.
Takehiro Tomiyasu has played just six minutes of football this season, coming on as a late substitute in the Premier League win over Southampton in October.