Chadwick, 26, came on as a substitute triallist in the 2-1 win over City of Liverpool on Tuesday night, scoring the match-winner.
He was part of the Ashton United team that won promotion to National League North ahead of the Yellows in 2017/18, and was the Robins’ top scorer in several seasons at Hurst Cross.
Yellows boss Paul Carden said: “We know he’s a proven goal scorer and he adds to the forwards we’ve already got and be really good for competition.
“We’ve kept a pretty settled squad and we’ve added quality where we needed to and Matty gives us that too.”
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