Palace have been stodgy going forward in recent weeks, mustering just five shots on target across their last four Premier League games.
Hodgson has no new injury concerns ahead of Saturday’s game.
“Fortunately,” Hodgson said, “no one has been added to the list, so that’s positive. But the ones who are missing are still missing: two centre-halves [Mamadou Sakho and James Tomkins], Tyrick Mitchell hasn’t recovered as yet – neither has [James] McArthur and [James] McCarthy.
“Nathaniel [Clyne] is in the same boat. Again, he’s making some progress but unfortunately it’s not quick enough for him to be involved at the weekend.
“I’m hoping that… the period of time we have now will see a good number of those players back again, in particular Nathaniel and Tyrick and the two Maccas. I don’t know whether that will be too early for the two centre-halves.”
With Zaha returning, and the fit again Jeffrey Schlupp stepping up to play a more significant role once again, Hodgson will be confident of being able to loosen the shackles this weekend.
The Baggies visit Selhurst Park having tightened things up at the back recently, conceding just twice in their last five games, but have still shipped more goals than any other side in the Premier League this season (56). Palace recorded their biggest ever Premier League away win at West Brom earlier this season, winning 5-1.
Predicted Crystal Palace XI (4-4-2): Guaita; Ward, Kouyate, Cahill, Van Aanholt; Townsend, Milivojevic, Riedewald, Eze; Zaha, Benteke
Crystal Palace squad from: Guaita, Butland, Henderson, Van Aanholt, Hannam, Dann, Cahill, Ward, Kelly, Kouyate, Townsend, Riedewald, Eze, Schlupp, Zaha, Ayew, Benteke, Batshuayi, Mateta, Wickham
Injury list: Ferguson (knee), Hennessey (thigh), Tomkins (eye), McArthur, Clyne, Mitchell