Green, 25, previously played for Matlock Town and Kidderminster Harriers, and joined the Gingerbreads towards the end of last season.
Manager Paul Rawden said: "Jake did exactly what we wanted on Saturday, he defended well and he got forward to create.
“Obviously we are well aware of what we can do when we slotted straight into the side last season.
“We've seen on social media that Supporters recognised him and were impressed too. We're delighted that once again he's part of our squad.”
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