A large crowd on the Lancashire coast had little to cheer with both sides' defences dominating a dull game, although Fleetwood had the better chances.
Leicester, Premier League champions in 2016, were restricted to half chances and failed to have an attempt on target.
Fleetwood came closest to winning in stoppage time when Ashley Hunter's deflected shot from 25 metres hit the post, came off the face of Leicester keeper Eldin Jakupovic, then hit the upright again but will be happy enough with the result against the top-tier side.
Fleetwood Town's keeper Chris Neal won a year's supply of pizza for his clean sheet vs Leicester City! RT if you're jealous. 🍕 https://t.co/hTUMc8qDsv — FOX Soccer (@FOXSoccer) January 6, 2018
In more positive news for the third-tier side, their goalkeeper Neal was promised a year's worth of free pizza should he keep a clean sheet by club sponsor Papa John's.
Arguably not the best diet for a professional footballer, at least he can offer his teammates a Margherita should they feel peckish.