Birch, 22, started his career at Aston Villa’s youth setup and joined Kidderminster in 2018.
The versatile defender had spells for Alvechurch, Sporting Khalsa and Stourport before linking up with Hednesford in September.
He joins a Colemen side sitting 8th in the Pitching In Northern Premier League Midlands Division, with 21 points from the first 13 games of the season.
Birch made his debut for Coleshill in last night’s 2-0 victory over Racing Club Warwick, in the Birmingham Senior Cup.
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