It was one-way traffic from Wrexham early on at SToK Cae Ras on Saturday afternoon, albeit resulting in mostly wayward shooting, with Peterborough getting more into the contest as the first half progressed.
The hosts' failure to test visiting goalkeeper Nicholas Bilokapic continued into the second period and it looked as though it would be another frustrating afternoon until Fletcher popped up with the 87th minute winner. The veteran striker headed in Oliver Rathbone's cross from a few yards out, just moments after failing to hit the target with a previous header.
The result makes the most of Wycombe dropping points against Blackpool and keeps Phil Parkinson's team just two points behind leaders Birmingham. Wrexham have played more games than both rivals, however.