Cazorla has missed the Gunners' last four matches in all competitions due to an ankle injury.
Answering questions on Thursday via Arsenal's Twitter account, the 28-year-old Spain international said: "I will be fit maybe in one week, I hope I can play at West Brom."
Prior to that game, current Premier League leaders Arsenal are at Swansea in the top-flight on Saturday and then host Napoli in the Champions League on Tuesday.
As well as Cazorla, Gunners boss Arsene Wenger went into Wednesday's Capital One Cup third-round tie at West Brom - which his team won 4-3 on penalties after it finished 1-1 after extra-time - without Theo Walcott (stomach), Tomas Rosicky (thigh), Yaya Sanogo (back), Lukas Podolski (hamstring), Alex Oxlade-Chamberlain and Abou Diaby (both knee).
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