Wright, 23, joined the Gladiators for a second time during the summer from Coalville Town, where he scored 17 goals last season.
He had previously spent time at Matlock on loan from Lincoln City back in 2016/17, but wasn’t able to find the target in their 10 league and cup matches so far this season.
Club chairman Tom Wright said: “Andrew’s a smashing lad and we wish him all the best for the future.”
Matlock visit Whitby Town in the BetVictor Northern Premier on Saturday.
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