Tierney has been out since the middle of January with lower leg discomfort, but he returned to training this week.
Partey, however, will not be involved and he has not travelled with the squad to Italy. The midfielder injured his hamstring against Aston Villa earlier this month.
“Thomas didn’t travel. He is not there yet. He is still training individually,” said Arteta.
“Kieran has had one session with us and he is part of the squad.”
Arsenal are expected to make changes from the side that beat Leeds 4-2 on Sunday, with Alexandre Lacazette, Nicolas Pepe and Rob Holding all pushing to come in.