The 20-year-old had only joined the Blues last month and made a couple of substitute appearances.
Slew signed for Evo-Stik League North strugglers Goole AFC earlier this season having been on trial with SkyBet Championship side Barnsley.
He came through the academy at Sheffield United.
A pacey and direct player, he has also spent time on loan with Evo-Stik League Premier sides Mickleover Sports and Matlock Town as well as at Worksop Town and Harrogate Town.