Zaha was publicly frustrated at the end of the last summer transfer window when his projected move to Arsenal fell through.
When the window slammed shut, Zaha remained at Crystal Palace and the Gunners had signed his compatriot Nicholas Pepe for £72m.
After last summer's disappointment, Zaha parted company with Unique Sports Management, his agency, and has been seeking help in engineering a move.
Federico Pastorello, who represents former Blue Romelu Lukaku, has reportedly been in conversation with Chelsea's director of football Marina Granovskia regarding Zaha.
Lampard has been helped, however, by older heads in the squad such as Willian, but the Brazilian's contract runs out next summer and he could be on the move.
Roy Hodgson has said he wouldn't be surprised if Zaha was courted again in January but insists he doesn't lose sleep over the situation.
“As I’ve said on many occasions, when you have a player of that quality, it’s not surprising when they’re coveted.
“But he’s a Crystal Palace player, he’s under contract to us. No one here is anxious or desirous to sell him. But sometimes bids come in which are very difficult for the clubs to deal with.
“The speculation doesn’t interest me at all. I’ve been here two and a bit years now and there’s been speculation about him from the very moment I stepped through the door.
“He’s still playing for Crystal Palace and still doing a wonderful job.”
