The Gunners were beaten 2-0 at Bournemouth on Saturday, a result which saw them slip to four points behind Premier League leaders Liverpool.
However, Arsenal remain unbeaten in the Champions League and can take a step closer to the round of 16 should they overcome the Ukrainian champions.
Shakhtar are yet to win in the competition, failing to triumph in either of their opening games, and were beaten 3-0 by Atalanta last time out.
