Zinchenko missed the Gunners' 3-0 win over Brentford on on Sunday after a brief period back in the team after injury, while captain Odegaard was also absent from the game after picking up a knock.
But the Metro reports the pair are on track to make the derby.
Zinchenko has missed three Premier League games this season after struggling with a calf problem.
He missed Ukraine's 3-0 defeat against Scotland last night, and is also expected to sit out of his side's game against Armenia later this international break.
Odegaard, meanwhile, also missed the Brentford game with a knock, but it is not thought his calf issue is serious.