Former Reds defender Nick Tanner believes the Crystal Palace man would add creativity to the Premier League leaders.
Liverpool have had a quiet transfer window with no new players joining the club.
But Tanner is convinced Zaha would be a perfect fit.
“Zaha is the sort of player who would suit us down to the ground,” he told Love Sport.
“I said it when I watched them play against Liverpool that he was the sort of player going forward with his creativity who would suit us.
“Last night, I don’t think Mohamed Salah touched the ball at all and the only one out of the front three who played well last night was Sadio Mane. He was superb.
“But everybody can’t play 110 per cent every week. They had a bad day but I’m sure they will bounce back.”
Liverpool were held to a draw by Leicester last night at Anfield.
And Tanner was surprised Daniel Sturridge was brought on to try and impact the game last night.
“I was surprised when he came on last night,” he explained.
“I thought he might have given Origi another go. No disrespect to Daniel Sturridge who has been a fantastic player.
“He’s brilliant in a good side that creates loads of chances but as he proved when he went to West Brom, when he’s in a not so good side he doesn’t create his own chances.
“So it’s a case of who is going to take a chance on him?
“The wages then come into it and there are loads of players around looking for clubs in a similar vein.
“I think 20 years ago it wouldn’t have happened because we didn’t have such big squads but people are more happy to take the money without having to play these days.
“He needs to get out and play every week but who is going to play him every week? Would he drop down a league? I don’t know.”
Liverpool return to action against West Ham on Monday evening (8pm).