Hazel, 19, will remain with the Evo-Stik Northern Premier League side until the end of the season. He can be recalled at 24 hours' notice after 28 days.
Hazel played for Norwegian side SK Sprint-Jeloy earlier this season. He has also had spells on loan at Buxton and Bradford Park Avenue this term following stints at Matlock Town and Workington last season.
The Bradford-born player has made two first-team appearances for Chesterfield.