Partridge, who made 27 apearances for Coventry whilst on loan from Liverpool in 2002-2003, plays for TNS after being released by Stockport County.
So far he has scored six goals in seven games which is more than the four goals he scored for the Sky Blues and one more than he scored for Chester City in 65 appearances.
Speaking to BBC Radio Shropshire, TNS Boss Mike Davies said about Partridge: "He came in for a trial and he immediately impressed us "He's already made a big impact, he causes the opposition all sorts of problems, it has been a great start."