The club's talisman came off after an hour against Newcastle United in his side's 2-1 win on Tuesday.
Zaha had a hamstring issue, and joins several first teamers on the treatment table.
"We're having a lot of trouble with those things, we've really hit a bad patch," said Hodgson to reporters post-game.
"I'm rather hoping it won't be a serious one because Wilf has tremendous powers of recovery.
"We'll miss Wilf but there are other forwards who can play, I'm more concerned about central midfield."
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