Bolton has long been linked with a January move for the highly-rated 19-year-old winger.
“I think there’s players out there, and Zaha is certainly one of them, that I think would enhance our club for years to come on a permanent basis, and there are one or two on a loan capacity I’d love to bring in before the deadline on Tuesday,” said Coyle.
“If it transpires then great, but it won’t stop me targeting good, young players to bring to this football club that I think I can develop and make better, and that’s what I’m trying to do.”
Liverpool, Manchester United and Newcastle United are also reportedly interested in Zaha.