The Southern Prem side currently lie 9th in the table, losing 2-1 at Royston Town on Saturday.
Manager Darren Byfield was quick to snap up the striker after being told to find pastures new by Merthyr.
The move is subject to international clearance.
Agreed to sign for @RedditchUnited1. Can’t wait to get started and link up with @darrenbyfield. International Clearance pending...... ⚽️— Stuart Fleetwood (@StuartFleets13) 20 November 2017