The 21-year-old forward joined the Celts last summer, before joining the North West Counties League side on loan at the start of the 2023/24 season.
Etia scored 20 goals in 32 appearances for the Hillmen and will now hope to replicate his success for Stalybridge Celtic in the Northern Premier League.
Speaking about the striker's return, manager James Kinsey said: "Jacques looked really lively in pre-season but there was elements of his game we felt he needed to improve on.
"We have always been open and honest with each other and the aim was for him to go and play regularly, to return to us when he was ready.
"We have kept in touch and he has been a part of the group all season.
"He has been superb for Glossop and his numbers tell a story. We’re excited to add somebody with his pace into the group, especially with us losing Darius Palma next week."
Etia could feature in Stalybridge Celtic's next fixture away to Widnes on Saturday.