Brazel has spent the last two seasons with Bury, scoring 18 goals for the NWCFL outfit during that time.
His performances also saw him crowned their Fans' Player of the Year at the end of the 2022/23 campaign.
Also making the move to Wincham Park is Fleetwood second-year professional Hoyle.
The centre-back, 20, impressive during a loan spell with Colne last season.
The pair could go straight into contention for Albion's home game against Clitheroe in the Pitching In NPL West Division this Saturday.
Photo credit: Fleetwood Town
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